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Finding the Fourth Proportional to 54,957.36, 75,855.41 and 31,097.87

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Solution

The fourth proportional to 54,957.36, 75,855.41 and 31,097.87 is: 42,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,957.36 : 75,855.41 = 31,097.87 : x
  2. Step 2: Convert to fraction form
    54,957.36/75,855.41 = 31,097.87/x
  3. Step 3: Cross multiply
    54,957.36x = 75,855.41 × 31,097.87
  4. Step 4: Simplify right side
    54,957.36x = 2,358,941,144.21
  5. Step 5: Solve for x
    x = 2,358,941,144.21/54,957.36
  6. Step 6: Final answer
    x = 42,923.12

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