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Finding the Fourth Proportional to 42,328.80, 58,413.75 and 22,947.78

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Solution

The fourth proportional to 42,328.80, 58,413.75 and 22,947.78 is: 31,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,328.80 : 58,413.75 = 22,947.78 : x
  2. Step 2: Convert to fraction form
    42,328.80/58,413.75 = 22,947.78/x
  3. Step 3: Cross multiply
    42,328.80x = 58,413.75 × 22,947.78
  4. Step 4: Simplify right side
    42,328.80x = 1,340,465,883.98
  5. Step 5: Solve for x
    x = 1,340,465,883.98/42,328.80
  6. Step 6: Final answer
    x = 31,667.94

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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.