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Finding the Fourth Proportional to 29,882.10, 44,812.44 and 9,887.91

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Solution

The fourth proportional to 29,882.10, 44,812.44 and 9,887.91 is: 14,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.10 : 44,812.44 = 9,887.91 : x
  2. Step 2: Convert to fraction form
    29,882.10/44,812.44 = 9,887.91/x
  3. Step 3: Cross multiply
    29,882.10x = 44,812.44 × 9,887.91
  4. Step 4: Simplify right side
    29,882.10x = 443,101,373.60
  5. Step 5: Solve for x
    x = 443,101,373.60/29,882.10
  6. Step 6: Final answer
    x = 14,828.32

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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.