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Finding the Fourth Proportional to 83,045.60, 124,568.40 and 49,803.20

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Solution

The fourth proportional to 83,045.60, 124,568.40 and 49,803.20 is: 74,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.60 : 124,568.40 = 49,803.20 : x
  2. Step 2: Convert to fraction form
    83,045.60/124,568.40 = 49,803.20/x
  3. Step 3: Cross multiply
    83,045.60x = 124,568.40 × 49,803.20
  4. Step 4: Simplify right side
    83,045.60x = 6,203,904,938.88
  5. Step 5: Solve for x
    x = 6,203,904,938.88/83,045.60
  6. Step 6: Final answer
    x = 74,704.80

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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.