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Finding the Fourth Proportional to 54,506.16, 75,218.80 and 31,846.48

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Solution

The fourth proportional to 54,506.16, 75,218.80 and 31,846.48 is: 43,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506.16 : 75,218.80 = 31,846.48 : x
  2. Step 2: Convert to fraction form
    54,506.16/75,218.80 = 31,846.48/x
  3. Step 3: Cross multiply
    54,506.16x = 75,218.80 × 31,846.48
  4. Step 4: Simplify right side
    54,506.16x = 2,395,454,009.82
  5. Step 5: Solve for x
    x = 2,395,454,009.82/54,506.16
  6. Step 6: Final answer
    x = 43,948.32

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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.