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Finding the Fourth Proportional to 42,350.52, 58,443.75 and 23,487.78

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Solution

The fourth proportional to 42,350.52, 58,443.75 and 23,487.78 is: 32,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,350.52 : 58,443.75 = 23,487.78 : x
  2. Step 2: Convert to fraction form
    42,350.52/58,443.75 = 23,487.78/x
  3. Step 3: Cross multiply
    42,350.52x = 58,443.75 × 23,487.78
  4. Step 4: Simplify right side
    42,350.52x = 1,372,713,942.38
  5. Step 5: Solve for x
    x = 1,372,713,942.38/42,350.52
  6. Step 6: Final answer
    x = 32,413.15

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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.