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Finding the Fourth Proportional to 42,247.38, 58,281.69 and 24,332

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Solution

The fourth proportional to 42,247.38, 58,281.69 and 24,332 is: 33,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,247.38 : 58,281.69 = 24,332 : x
  2. Step 2: Convert to fraction form
    42,247.38/58,281.69 = 24,332/x
  3. Step 3: Cross multiply
    42,247.38x = 58,281.69 × 24,332
  4. Step 4: Simplify right side
    42,247.38x = 1,418,110,081.08
  5. Step 5: Solve for x
    x = 1,418,110,081.08/42,247.38
  6. Step 6: Final answer
    x = 33,566.82

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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.