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Finding the Fourth Proportional to 105,787.50, 158,687.73 and 31,915.50

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Solution

The fourth proportional to 105,787.50, 158,687.73 and 31,915.50 is: 47,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,787.50 : 158,687.73 = 31,915.50 : x
  2. Step 2: Convert to fraction form
    105,787.50/158,687.73 = 31,915.50/x
  3. Step 3: Cross multiply
    105,787.50x = 158,687.73 × 31,915.50
  4. Step 4: Simplify right side
    105,787.50x = 5,064,598,246.82
  5. Step 5: Solve for x
    x = 5,064,598,246.82/105,787.50
  6. Step 6: Final answer
    x = 47,875.20

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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.