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Finding the Fourth Proportional to 38,472.53, 57,701.50 and 13,506.71

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Solution

The fourth proportional to 38,472.53, 57,701.50 and 13,506.71 is: 20,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.53 : 57,701.50 = 13,506.71 : x
  2. Step 2: Convert to fraction form
    38,472.53/57,701.50 = 13,506.71/x
  3. Step 3: Cross multiply
    38,472.53x = 57,701.50 × 13,506.71
  4. Step 4: Simplify right side
    38,472.53x = 779,357,104.79
  5. Step 5: Solve for x
    x = 779,357,104.79/38,472.53
  6. Step 6: Final answer
    x = 20,257.50

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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.