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Finding the Fourth Proportional to 66,677.38, 91,971.40 and 42,766.18

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Solution

The fourth proportional to 66,677.38, 91,971.40 and 42,766.18 is: 58,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,677.38 : 91,971.40 = 42,766.18 : x
  2. Step 2: Convert to fraction form
    66,677.38/91,971.40 = 42,766.18/x
  3. Step 3: Cross multiply
    66,677.38x = 91,971.40 × 42,766.18
  4. Step 4: Simplify right side
    66,677.38x = 3,933,265,447.25
  5. Step 5: Solve for x
    x = 3,933,265,447.25/66,677.38
  6. Step 6: Final answer
    x = 58,989.50

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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.