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Finding the Fourth Proportional to 55,882.60, 83,651.10 and 49,661.80

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Solution

The fourth proportional to 55,882.60, 83,651.10 and 49,661.80 is: 74,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882.60 : 83,651.10 = 49,661.80 : x
  2. Step 2: Convert to fraction form
    55,882.60/83,651.10 = 49,661.80/x
  3. Step 3: Cross multiply
    55,882.60x = 83,651.10 × 49,661.80
  4. Step 4: Simplify right side
    55,882.60x = 4,154,264,197.98
  5. Step 5: Solve for x
    x = 4,154,264,197.98/55,882.60
  6. Step 6: Final answer
    x = 74,339.14

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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.