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Finding the Fourth Proportional to 105,531.60, 145,633.62 and 57,787.88

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Solution

The fourth proportional to 105,531.60, 145,633.62 and 57,787.88 is: 79,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,531.60 : 145,633.62 = 57,787.88 : x
  2. Step 2: Convert to fraction form
    105,531.60/145,633.62 = 57,787.88/x
  3. Step 3: Cross multiply
    105,531.60x = 145,633.62 × 57,787.88
  4. Step 4: Simplify right side
    105,531.60x = 8,415,858,156.53
  5. Step 5: Solve for x
    x = 8,415,858,156.53/105,531.60
  6. Step 6: Final answer
    x = 79,747.28

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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.