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Finding the Fourth Proportional to 34,916.50, 52,375.02 and 9,956.53

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Solution

The fourth proportional to 34,916.50, 52,375.02 and 9,956.53 is: 14,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,916.50 : 52,375.02 = 9,956.53 : x
  2. Step 2: Convert to fraction form
    34,916.50/52,375.02 = 9,956.53/x
  3. Step 3: Cross multiply
    34,916.50x = 52,375.02 × 9,956.53
  4. Step 4: Simplify right side
    34,916.50x = 521,473,352.71
  5. Step 5: Solve for x
    x = 521,473,352.71/34,916.50
  6. Step 6: Final answer
    x = 14,934.87

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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.