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Finding the Fourth Proportional to 77,218.83, 115,836.89 and 24,616.11

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Solution

The fourth proportional to 77,218.83, 115,836.89 and 24,616.11 is: 36,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,218.83 : 115,836.89 = 24,616.11 : x
  2. Step 2: Convert to fraction form
    77,218.83/115,836.89 = 24,616.11/x
  3. Step 3: Cross multiply
    77,218.83x = 115,836.89 × 24,616.11
  4. Step 4: Simplify right side
    77,218.83x = 2,851,453,503.22
  5. Step 5: Solve for x
    x = 2,851,453,503.22/77,218.83
  6. Step 6: Final answer
    x = 36,926.92

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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.