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Finding the Fourth Proportional to 82,139.20, 113,352 and 44,413.36

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Solution

The fourth proportional to 82,139.20, 113,352 and 44,413.36 is: 61,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139.20 : 113,352 = 44,413.36 : x
  2. Step 2: Convert to fraction form
    82,139.20/113,352 = 44,413.36/x
  3. Step 3: Cross multiply
    82,139.20x = 113,352 × 44,413.36
  4. Step 4: Simplify right side
    82,139.20x = 5,034,343,182.72
  5. Step 5: Solve for x
    x = 5,034,343,182.72/82,139.20
  6. Step 6: Final answer
    x = 61,290.38

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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.