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Finding the Fourth Proportional to 102,543.80, 153,815.70 and 32,444.60

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Solution

The fourth proportional to 102,543.80, 153,815.70 and 32,444.60 is: 48,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,543.80 : 153,815.70 = 32,444.60 : x
  2. Step 2: Convert to fraction form
    102,543.80/153,815.70 = 32,444.60/x
  3. Step 3: Cross multiply
    102,543.80x = 153,815.70 × 32,444.60
  4. Step 4: Simplify right side
    102,543.80x = 4,990,488,860.22
  5. Step 5: Solve for x
    x = 4,990,488,860.22/102,543.80
  6. Step 6: Final answer
    x = 48,666.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.