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Finding the Fourth Proportional to 42,209.31, 58,253.00 and 24,305.07

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Solution

The fourth proportional to 42,209.31, 58,253.00 and 24,305.07 is: 33,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,209.31 : 58,253.00 = 24,305.07 : x
  2. Step 2: Convert to fraction form
    42,209.31/58,253.00 = 24,305.07/x
  3. Step 3: Cross multiply
    42,209.31x = 58,253.00 × 24,305.07
  4. Step 4: Simplify right side
    42,209.31x = 1,415,843,121.18
  5. Step 5: Solve for x
    x = 1,415,843,121.18/42,209.31
  6. Step 6: Final answer
    x = 33,543.38

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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.