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Finding the Fourth Proportional to 54,649.28, 75,417.86 and 31,990.38

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Solution

The fourth proportional to 54,649.28, 75,417.86 and 31,990.38 is: 44,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,649.28 : 75,417.86 = 31,990.38 : x
  2. Step 2: Convert to fraction form
    54,649.28/75,417.86 = 31,990.38/x
  3. Step 3: Cross multiply
    54,649.28x = 75,417.86 × 31,990.38
  4. Step 4: Simplify right side
    54,649.28x = 2,412,646,080.16
  5. Step 5: Solve for x
    x = 2,412,646,080.16/54,649.28
  6. Step 6: Final answer
    x = 44,147.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.