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Finding the Fourth Proportional to 54,117, 81,208.71 and 22,952.25

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Solution

The fourth proportional to 54,117, 81,208.71 and 22,952.25 is: 34,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,117 : 81,208.71 = 22,952.25 : x
  2. Step 2: Convert to fraction form
    54,117/81,208.71 = 22,952.25/x
  3. Step 3: Cross multiply
    54,117x = 81,208.71 × 22,952.25
  4. Step 4: Simplify right side
    54,117x = 1,863,922,614.10
  5. Step 5: Solve for x
    x = 1,863,922,614.10/54,117
  6. Step 6: Final answer
    x = 34,442.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.