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Finding the Fourth Proportional to 42,241, 58,292.58 and 24,577

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Solution

The fourth proportional to 42,241, 58,292.58 and 24,577 is: 33,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 58,292.58 = 24,577 : x
  2. Step 2: Convert to fraction form
    42,241/58,292.58 = 24,577/x
  3. Step 3: Cross multiply
    42,241x = 58,292.58 × 24,577
  4. Step 4: Simplify right side
    42,241x = 1,432,656,738.66
  5. Step 5: Solve for x
    x = 1,432,656,738.66/42,241
  6. Step 6: Final answer
    x = 33,916.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.