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Finding the Fourth Proportional to 54,878, 75,734.88 and 31,004.06

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Solution

The fourth proportional to 54,878, 75,734.88 and 31,004.06 is: 42,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878 : 75,734.88 = 31,004.06 : x
  2. Step 2: Convert to fraction form
    54,878/75,734.88 = 31,004.06/x
  3. Step 3: Cross multiply
    54,878x = 75,734.88 × 31,004.06
  4. Step 4: Simplify right side
    54,878x = 2,348,088,763.61
  5. Step 5: Solve for x
    x = 2,348,088,763.61/54,878
  6. Step 6: Final answer
    x = 42,787.43

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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.