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Finding the Fourth Proportional to 83,034.60, 124,551.90 and 40,922.70

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Solution

The fourth proportional to 83,034.60, 124,551.90 and 40,922.70 is: 61,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.60 : 124,551.90 = 40,922.70 : x
  2. Step 2: Convert to fraction form
    83,034.60/124,551.90 = 40,922.70/x
  3. Step 3: Cross multiply
    83,034.60x = 124,551.90 × 40,922.70
  4. Step 4: Simplify right side
    83,034.60x = 5,097,000,038.13
  5. Step 5: Solve for x
    x = 5,097,000,038.13/83,034.60
  6. Step 6: Final answer
    x = 61,384.05

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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.