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Finding the Fourth Proportional to 42,047.31, 58,033.70 and 24,154.59

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Solution

The fourth proportional to 42,047.31, 58,033.70 and 24,154.59 is: 33,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.31 : 58,033.70 = 24,154.59 : x
  2. Step 2: Convert to fraction form
    42,047.31/58,033.70 = 24,154.59/x
  3. Step 3: Cross multiply
    42,047.31x = 58,033.70 × 24,154.59
  4. Step 4: Simplify right side
    42,047.31x = 1,401,780,108.91
  5. Step 5: Solve for x
    x = 1,401,780,108.91/42,047.31
  6. Step 6: Final answer
    x = 33,338.16

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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.