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Finding the Fourth Proportional to 29,842, 44,772.76 and 9,065.52

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Solution

The fourth proportional to 29,842, 44,772.76 and 9,065.52 is: 13,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842 : 44,772.76 = 9,065.52 : x
  2. Step 2: Convert to fraction form
    29,842/44,772.76 = 9,065.52/x
  3. Step 3: Cross multiply
    29,842x = 44,772.76 × 9,065.52
  4. Step 4: Simplify right side
    29,842x = 405,888,351.24
  5. Step 5: Solve for x
    x = 405,888,351.24/29,842
  6. Step 6: Final answer
    x = 13,601.24

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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.