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Finding the Fourth Proportional to 42,285.57, 58,356 and 23,422.70

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Solution

The fourth proportional to 42,285.57, 58,356 and 23,422.70 is: 32,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,285.57 : 58,356 = 23,422.70 : x
  2. Step 2: Convert to fraction form
    42,285.57/58,356 = 23,422.70/x
  3. Step 3: Cross multiply
    42,285.57x = 58,356 × 23,422.70
  4. Step 4: Simplify right side
    42,285.57x = 1,366,854,789.42
  5. Step 5: Solve for x
    x = 1,366,854,789.42/42,285.57
  6. Step 6: Final answer
    x = 32,324.38

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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.