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Finding the Fourth Proportional to 42,304.92, 58,378.78 and 25,318.50

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Solution

The fourth proportional to 42,304.92, 58,378.78 and 25,318.50 is: 34,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,304.92 : 58,378.78 = 25,318.50 : x
  2. Step 2: Convert to fraction form
    42,304.92/58,378.78 = 25,318.50/x
  3. Step 3: Cross multiply
    42,304.92x = 58,378.78 × 25,318.50
  4. Step 4: Simplify right side
    42,304.92x = 1,478,063,141.43
  5. Step 5: Solve for x
    x = 1,478,063,141.43/42,304.92
  6. Step 6: Final answer
    x = 34,938.33

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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.