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Finding the Fourth Proportional to 73,752.11, 110,634.54 and 31,634.13

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Solution

The fourth proportional to 73,752.11, 110,634.54 and 31,634.13 is: 47,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,752.11 : 110,634.54 = 31,634.13 : x
  2. Step 2: Convert to fraction form
    73,752.11/110,634.54 = 31,634.13/x
  3. Step 3: Cross multiply
    73,752.11x = 110,634.54 × 31,634.13
  4. Step 4: Simplify right side
    73,752.11x = 3,499,827,420.85
  5. Step 5: Solve for x
    x = 3,499,827,420.85/73,752.11
  6. Step 6: Final answer
    x = 47,453.93

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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.