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Finding the Fourth Proportional to 34,294.80, 51,446 and 10,915.76

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Solution

The fourth proportional to 34,294.80, 51,446 and 10,915.76 is: 16,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.80 : 51,446 = 10,915.76 : x
  2. Step 2: Convert to fraction form
    34,294.80/51,446 = 10,915.76/x
  3. Step 3: Cross multiply
    34,294.80x = 51,446 × 10,915.76
  4. Step 4: Simplify right side
    34,294.80x = 561,572,188.96
  5. Step 5: Solve for x
    x = 561,572,188.96/34,294.80
  6. Step 6: Final answer
    x = 16,374.85

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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.