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Finding the Fourth Proportional to 54,346.17, 74,963.20 and 39,261

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Solution

The fourth proportional to 54,346.17, 74,963.20 and 39,261 is: 54,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.17 : 74,963.20 = 39,261 : x
  2. Step 2: Convert to fraction form
    54,346.17/74,963.20 = 39,261/x
  3. Step 3: Cross multiply
    54,346.17x = 74,963.20 × 39,261
  4. Step 4: Simplify right side
    54,346.17x = 2,943,130,195.20
  5. Step 5: Solve for x
    x = 2,943,130,195.20/54,346.17
  6. Step 6: Final answer
    x = 54,155.25

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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.