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Finding the Fourth Proportional to 49,413.68, 74,160.48 and 38,294

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Solution

The fourth proportional to 49,413.68, 74,160.48 and 38,294 is: 57,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,413.68 : 74,160.48 = 38,294 : x
  2. Step 2: Convert to fraction form
    49,413.68/74,160.48 = 38,294/x
  3. Step 3: Cross multiply
    49,413.68x = 74,160.48 × 38,294
  4. Step 4: Simplify right side
    49,413.68x = 2,839,901,421.12
  5. Step 5: Solve for x
    x = 2,839,901,421.12/49,413.68
  6. Step 6: Final answer
    x = 57,471.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.