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Finding the Fourth Proportional to 82,587.70, 123,889.77 and 26,413.71

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Solution

The fourth proportional to 82,587.70, 123,889.77 and 26,413.71 is: 39,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587.70 : 123,889.77 = 26,413.71 : x
  2. Step 2: Convert to fraction form
    82,587.70/123,889.77 = 26,413.71/x
  3. Step 3: Cross multiply
    82,587.70x = 123,889.77 × 26,413.71
  4. Step 4: Simplify right side
    82,587.70x = 3,272,388,456.75
  5. Step 5: Solve for x
    x = 3,272,388,456.75/82,587.70
  6. Step 6: Final answer
    x = 39,623.19

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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.