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Finding the Fourth Proportional to 29,458.88, 44,178.41 and 9,463.47

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Solution

The fourth proportional to 29,458.88, 44,178.41 and 9,463.47 is: 14,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.88 : 44,178.41 = 9,463.47 : x
  2. Step 2: Convert to fraction form
    29,458.88/44,178.41 = 9,463.47/x
  3. Step 3: Cross multiply
    29,458.88x = 44,178.41 × 9,463.47
  4. Step 4: Simplify right side
    29,458.88x = 418,081,081.34
  5. Step 5: Solve for x
    x = 418,081,081.34/29,458.88
  6. Step 6: Final answer
    x = 14,192.02

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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.