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Finding the Fourth Proportional to 42,542.84, 58,722.05 and 24,642.25

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Solution

The fourth proportional to 42,542.84, 58,722.05 and 24,642.25 is: 34,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.84 : 58,722.05 = 24,642.25 : x
  2. Step 2: Convert to fraction form
    42,542.84/58,722.05 = 24,642.25/x
  3. Step 3: Cross multiply
    42,542.84x = 58,722.05 × 24,642.25
  4. Step 4: Simplify right side
    42,542.84x = 1,447,043,019.79
  5. Step 5: Solve for x
    x = 1,447,043,019.79/42,542.84
  6. Step 6: Final answer
    x = 34,013.79

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