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Finding the Fourth Proportional to 83,200.80, 124,817.40 and 24,038.40

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Solution

The fourth proportional to 83,200.80, 124,817.40 and 24,038.40 is: 36,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.80 : 124,817.40 = 24,038.40 : x
  2. Step 2: Convert to fraction form
    83,200.80/124,817.40 = 24,038.40/x
  3. Step 3: Cross multiply
    83,200.80x = 124,817.40 × 24,038.40
  4. Step 4: Simplify right side
    83,200.80x = 3,000,410,588.16
  5. Step 5: Solve for x
    x = 3,000,410,588.16/83,200.80
  6. Step 6: Final answer
    x = 36,062.28

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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.