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Finding the Fourth Proportional to 130,543.80, 195,815.70 and 32,047.80

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Solution

The fourth proportional to 130,543.80, 195,815.70 and 32,047.80 is: 48,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,543.80 : 195,815.70 = 32,047.80 : x
  2. Step 2: Convert to fraction form
    130,543.80/195,815.70 = 32,047.80/x
  3. Step 3: Cross multiply
    130,543.80x = 195,815.70 × 32,047.80
  4. Step 4: Simplify right side
    130,543.80x = 6,275,462,390.46
  5. Step 5: Solve for x
    x = 6,275,462,390.46/130,543.80
  6. Step 6: Final answer
    x = 48,071.70

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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.