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Finding the Fourth Proportional to 29,972.67, 44,951.72 and 14,177.07

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Solution

The fourth proportional to 29,972.67, 44,951.72 and 14,177.07 is: 21,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.67 : 44,951.72 = 14,177.07 : x
  2. Step 2: Convert to fraction form
    29,972.67/44,951.72 = 14,177.07/x
  3. Step 3: Cross multiply
    29,972.67x = 44,951.72 × 14,177.07
  4. Step 4: Simplify right side
    29,972.67x = 637,283,610.18
  5. Step 5: Solve for x
    x = 637,283,610.18/29,972.67
  6. Step 6: Final answer
    x = 21,262.16

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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.