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Finding the Fourth Proportional to 82,713.20, 124,069.80 and 51,609.20

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Solution

The fourth proportional to 82,713.20, 124,069.80 and 51,609.20 is: 77,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,713.20 : 124,069.80 = 51,609.20 : x
  2. Step 2: Convert to fraction form
    82,713.20/124,069.80 = 51,609.20/x
  3. Step 3: Cross multiply
    82,713.20x = 124,069.80 × 51,609.20
  4. Step 4: Simplify right side
    82,713.20x = 6,403,143,122.16
  5. Step 5: Solve for x
    x = 6,403,143,122.16/82,713.20
  6. Step 6: Final answer
    x = 77,413.80

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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.