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Finding the Fourth Proportional to 29,442.27, 44,159.09 and 9,721.47

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Solution

The fourth proportional to 29,442.27, 44,159.09 and 9,721.47 is: 14,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.27 : 44,159.09 = 9,721.47 : x
  2. Step 2: Convert to fraction form
    29,442.27/44,159.09 = 9,721.47/x
  3. Step 3: Cross multiply
    29,442.27x = 44,159.09 × 9,721.47
  4. Step 4: Simplify right side
    29,442.27x = 429,291,220.05
  5. Step 5: Solve for x
    x = 429,291,220.05/29,442.27
  6. Step 6: Final answer
    x = 14,580.78

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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.