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Finding the Fourth Proportional to 73,810.20, 110,726.10 and 23,881.80

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Solution

The fourth proportional to 73,810.20, 110,726.10 and 23,881.80 is: 35,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,810.20 : 110,726.10 = 23,881.80 : x
  2. Step 2: Convert to fraction form
    73,810.20/110,726.10 = 23,881.80/x
  3. Step 3: Cross multiply
    73,810.20x = 110,726.10 × 23,881.80
  4. Step 4: Simplify right side
    73,810.20x = 2,644,338,574.98
  5. Step 5: Solve for x
    x = 2,644,338,574.98/73,810.20
  6. Step 6: Final answer
    x = 35,826.19

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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.