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Finding the Fourth Proportional to 34,338.05, 51,499 and 9,372.16

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Solution

The fourth proportional to 34,338.05, 51,499 and 9,372.16 is: 14,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.05 : 51,499 = 9,372.16 : x
  2. Step 2: Convert to fraction form
    34,338.05/51,499 = 9,372.16/x
  3. Step 3: Cross multiply
    34,338.05x = 51,499 × 9,372.16
  4. Step 4: Simplify right side
    34,338.05x = 482,656,867.84
  5. Step 5: Solve for x
    x = 482,656,867.84/34,338.05
  6. Step 6: Final answer
    x = 14,056.04

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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.