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Finding the Fourth Proportional to 68,218.86, 102,332.09 and 20,841.15

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Solution

The fourth proportional to 68,218.86, 102,332.09 and 20,841.15 is: 31,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,218.86 : 102,332.09 = 20,841.15 : x
  2. Step 2: Convert to fraction form
    68,218.86/102,332.09 = 20,841.15/x
  3. Step 3: Cross multiply
    68,218.86x = 102,332.09 × 20,841.15
  4. Step 4: Simplify right side
    68,218.86x = 2,132,718,437.50
  5. Step 5: Solve for x
    x = 2,132,718,437.50/68,218.86
  6. Step 6: Final answer
    x = 31,262.89

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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.