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Finding the Fourth Proportional to 132,530.70, 198,727.95 and 39,024.30

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Solution

The fourth proportional to 132,530.70, 198,727.95 and 39,024.30 is: 58,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,530.70 : 198,727.95 = 39,024.30 : x
  2. Step 2: Convert to fraction form
    132,530.70/198,727.95 = 39,024.30/x
  3. Step 3: Cross multiply
    132,530.70x = 198,727.95 × 39,024.30
  4. Step 4: Simplify right side
    132,530.70x = 7,755,219,139.19
  5. Step 5: Solve for x
    x = 7,755,219,139.19/132,530.70
  6. Step 6: Final answer
    x = 58,516.40

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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.