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Finding the Fourth Proportional to 54,957.47, 75,843.03 and 31,083.68

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Solution

The fourth proportional to 54,957.47, 75,843.03 and 31,083.68 is: 42,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,957.47 : 75,843.03 = 31,083.68 : x
  2. Step 2: Convert to fraction form
    54,957.47/75,843.03 = 31,083.68/x
  3. Step 3: Cross multiply
    54,957.47x = 75,843.03 × 31,083.68
  4. Step 4: Simplify right side
    54,957.47x = 2,357,480,474.75
  5. Step 5: Solve for x
    x = 2,357,480,474.75/54,957.47
  6. Step 6: Final answer
    x = 42,896.45

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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.