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Finding the Fourth Proportional to 102,882.68, 154,292.64 and 36,307.27

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Solution

The fourth proportional to 102,882.68, 154,292.64 and 36,307.27 is: 54,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.68 : 154,292.64 = 36,307.27 : x
  2. Step 2: Convert to fraction form
    102,882.68/154,292.64 = 36,307.27/x
  3. Step 3: Cross multiply
    102,882.68x = 154,292.64 × 36,307.27
  4. Step 4: Simplify right side
    102,882.68x = 5,601,943,722.65
  5. Step 5: Solve for x
    x = 5,601,943,722.65/102,882.68
  6. Step 6: Final answer
    x = 54,449.82

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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.