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Finding the Fourth Proportional to 42,306.28, 58,383.66 and 23,443

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Solution

The fourth proportional to 42,306.28, 58,383.66 and 23,443 is: 32,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.28 : 58,383.66 = 23,443 : x
  2. Step 2: Convert to fraction form
    42,306.28/58,383.66 = 23,443/x
  3. Step 3: Cross multiply
    42,306.28x = 58,383.66 × 23,443
  4. Step 4: Simplify right side
    42,306.28x = 1,368,688,141.38
  5. Step 5: Solve for x
    x = 1,368,688,141.38/42,306.28
  6. Step 6: Final answer
    x = 32,351.89

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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.