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Finding the Fourth Proportional to 102,568.17, 153,920.98 and 36,008.50

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Solution

The fourth proportional to 102,568.17, 153,920.98 and 36,008.50 is: 54,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568.17 : 153,920.98 = 36,008.50 : x
  2. Step 2: Convert to fraction form
    102,568.17/153,920.98 = 36,008.50/x
  3. Step 3: Cross multiply
    102,568.17x = 153,920.98 × 36,008.50
  4. Step 4: Simplify right side
    102,568.17x = 5,542,462,658.68
  5. Step 5: Solve for x
    x = 5,542,462,658.68/102,568.17
  6. Step 6: Final answer
    x = 54,036.87

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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.