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Finding the Fourth Proportional to 83,007.80, 124,511.70 and 20,678.30

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Solution

The fourth proportional to 83,007.80, 124,511.70 and 20,678.30 is: 31,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.80 : 124,511.70 = 20,678.30 : x
  2. Step 2: Convert to fraction form
    83,007.80/124,511.70 = 20,678.30/x
  3. Step 3: Cross multiply
    83,007.80x = 124,511.70 × 20,678.30
  4. Step 4: Simplify right side
    83,007.80x = 2,574,690,286.11
  5. Step 5: Solve for x
    x = 2,574,690,286.11/83,007.80
  6. Step 6: Final answer
    x = 31,017.45

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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.