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Finding the Fourth Proportional to 69,116.40, 103,677.56 and 24,142.32

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Solution

The fourth proportional to 69,116.40, 103,677.56 and 24,142.32 is: 36,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116.40 : 103,677.56 = 24,142.32 : x
  2. Step 2: Convert to fraction form
    69,116.40/103,677.56 = 24,142.32/x
  3. Step 3: Cross multiply
    69,116.40x = 103,677.56 × 24,142.32
  4. Step 4: Simplify right side
    69,116.40x = 2,503,016,830.34
  5. Step 5: Solve for x
    x = 2,503,016,830.34/69,116.40
  6. Step 6: Final answer
    x = 36,214.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.