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Finding the Fourth Proportional to 29,715.54, 44,572.20 and 8,938.50

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Solution

The fourth proportional to 29,715.54, 44,572.20 and 8,938.50 is: 13,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.54 : 44,572.20 = 8,938.50 : x
  2. Step 2: Convert to fraction form
    29,715.54/44,572.20 = 8,938.50/x
  3. Step 3: Cross multiply
    29,715.54x = 44,572.20 × 8,938.50
  4. Step 4: Simplify right side
    29,715.54x = 398,408,609.70
  5. Step 5: Solve for x
    x = 398,408,609.70/29,715.54
  6. Step 6: Final answer
    x = 13,407.42

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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.