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Finding the Fourth Proportional to 42,338.59, 58,413.95 and 24,431.24

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Solution

The fourth proportional to 42,338.59, 58,413.95 and 24,431.24 is: 33,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.59 : 58,413.95 = 24,431.24 : x
  2. Step 2: Convert to fraction form
    42,338.59/58,413.95 = 24,431.24/x
  3. Step 3: Cross multiply
    42,338.59x = 58,413.95 × 24,431.24
  4. Step 4: Simplify right side
    42,338.59x = 1,427,125,231.80
  5. Step 5: Solve for x
    x = 1,427,125,231.80/42,338.59
  6. Step 6: Final answer
    x = 33,707.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.