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Finding the Fourth Proportional to 29,058.16, 43,593.84 and 10,590

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Solution

The fourth proportional to 29,058.16, 43,593.84 and 10,590 is: 15,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,058.16 : 43,593.84 = 10,590 : x
  2. Step 2: Convert to fraction form
    29,058.16/43,593.84 = 10,590/x
  3. Step 3: Cross multiply
    29,058.16x = 43,593.84 × 10,590
  4. Step 4: Simplify right side
    29,058.16x = 461,658,765.60
  5. Step 5: Solve for x
    x = 461,658,765.60/29,058.16
  6. Step 6: Final answer
    x = 15,887.41

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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.