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Finding the Fourth Proportional to 32,543.70, 48,815.55 and 12,811.50

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Solution

The fourth proportional to 32,543.70, 48,815.55 and 12,811.50 is: 19,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.70 : 48,815.55 = 12,811.50 : x
  2. Step 2: Convert to fraction form
    32,543.70/48,815.55 = 12,811.50/x
  3. Step 3: Cross multiply
    32,543.70x = 48,815.55 × 12,811.50
  4. Step 4: Simplify right side
    32,543.70x = 625,400,418.83
  5. Step 5: Solve for x
    x = 625,400,418.83/32,543.70
  6. Step 6: Final answer
    x = 19,217.25

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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.