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Finding the Fourth Proportional to 39,411.80, 59,123.10 and 13,113.80

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Solution

The fourth proportional to 39,411.80, 59,123.10 and 13,113.80 is: 19,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,411.80 : 59,123.10 = 13,113.80 : x
  2. Step 2: Convert to fraction form
    39,411.80/59,123.10 = 13,113.80/x
  3. Step 3: Cross multiply
    39,411.80x = 59,123.10 × 13,113.80
  4. Step 4: Simplify right side
    39,411.80x = 775,328,508.78
  5. Step 5: Solve for x
    x = 775,328,508.78/39,411.80
  6. Step 6: Final answer
    x = 19,672.50

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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.