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Finding the Fourth Proportional to 29,058.64, 43,578.42 and 9,332.53

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Solution

The fourth proportional to 29,058.64, 43,578.42 and 9,332.53 is: 13,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,058.64 : 43,578.42 = 9,332.53 : x
  2. Step 2: Convert to fraction form
    29,058.64/43,578.42 = 9,332.53/x
  3. Step 3: Cross multiply
    29,058.64x = 43,578.42 × 9,332.53
  4. Step 4: Simplify right side
    29,058.64x = 406,696,912.00
  5. Step 5: Solve for x
    x = 406,696,912.00/29,058.64
  6. Step 6: Final answer
    x = 13,995.73

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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.