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Finding the Fourth Proportional to 69,043.20, 103,413.04 and 57,061.20

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Solution

The fourth proportional to 69,043.20, 103,413.04 and 57,061.20 is: 85,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,043.20 : 103,413.04 = 57,061.20 : x
  2. Step 2: Convert to fraction form
    69,043.20/103,413.04 = 57,061.20/x
  3. Step 3: Cross multiply
    69,043.20x = 103,413.04 × 57,061.20
  4. Step 4: Simplify right side
    69,043.20x = 5,900,872,158.05
  5. Step 5: Solve for x
    x = 5,900,872,158.05/69,043.20
  6. Step 6: Final answer
    x = 85,466.38

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Why These Related Problems?

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