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Finding the Fourth Proportional to 32,073.70, 44,259.92 and 17,732.70

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Solution

The fourth proportional to 32,073.70, 44,259.92 and 17,732.70 is: 24,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073.70 : 44,259.92 = 17,732.70 : x
  2. Step 2: Convert to fraction form
    32,073.70/44,259.92 = 17,732.70/x
  3. Step 3: Cross multiply
    32,073.70x = 44,259.92 × 17,732.70
  4. Step 4: Simplify right side
    32,073.70x = 784,847,573.42
  5. Step 5: Solve for x
    x = 784,847,573.42/32,073.70
  6. Step 6: Final answer
    x = 24,470.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.