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Finding the Fourth Proportional to 63,782.97, 95,688.23 and 19,413.20

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Solution

The fourth proportional to 63,782.97, 95,688.23 and 19,413.20 is: 29,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782.97 : 95,688.23 = 19,413.20 : x
  2. Step 2: Convert to fraction form
    63,782.97/95,688.23 = 19,413.20/x
  3. Step 3: Cross multiply
    63,782.97x = 95,688.23 × 19,413.20
  4. Step 4: Simplify right side
    63,782.97x = 1,857,614,171.13
  5. Step 5: Solve for x
    x = 1,857,614,171.13/63,782.97
  6. Step 6: Final answer
    x = 29,123.98

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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.