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Finding the Fourth Proportional to 29,962.72, 44,934.34 and 9,966.84

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Solution

The fourth proportional to 29,962.72, 44,934.34 and 9,966.84 is: 14,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.72 : 44,934.34 = 9,966.84 : x
  2. Step 2: Convert to fraction form
    29,962.72/44,934.34 = 9,966.84/x
  3. Step 3: Cross multiply
    29,962.72x = 44,934.34 × 9,966.84
  4. Step 4: Simplify right side
    29,962.72x = 447,853,377.29
  5. Step 5: Solve for x
    x = 447,853,377.29/29,962.72
  6. Step 6: Final answer
    x = 14,947.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.