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Finding the Fourth Proportional to 73,772.41, 110,769.31 and 42,218.10

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Solution

The fourth proportional to 73,772.41, 110,769.31 and 42,218.10 is: 63,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772.41 : 110,769.31 = 42,218.10 : x
  2. Step 2: Convert to fraction form
    73,772.41/110,769.31 = 42,218.10/x
  3. Step 3: Cross multiply
    73,772.41x = 110,769.31 × 42,218.10
  4. Step 4: Simplify right side
    73,772.41x = 4,676,469,806.51
  5. Step 5: Solve for x
    x = 4,676,469,806.51/73,772.41
  6. Step 6: Final answer
    x = 63,390.50

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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.