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Finding the Fourth Proportional to 66,713.66, 92,098.17 and 38,413.88

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Solution

The fourth proportional to 66,713.66, 92,098.17 and 38,413.88 is: 53,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,713.66 : 92,098.17 = 38,413.88 : x
  2. Step 2: Convert to fraction form
    66,713.66/92,098.17 = 38,413.88/x
  3. Step 3: Cross multiply
    66,713.66x = 92,098.17 × 38,413.88
  4. Step 4: Simplify right side
    66,713.66x = 3,537,847,791.42
  5. Step 5: Solve for x
    x = 3,537,847,791.42/66,713.66
  6. Step 6: Final answer
    x = 53,030.34

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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.