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Finding the Fourth Proportional to 31,915.56, 47,875.50 and 8,544.36

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Solution

The fourth proportional to 31,915.56, 47,875.50 and 8,544.36 is: 12,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.56 : 47,875.50 = 8,544.36 : x
  2. Step 2: Convert to fraction form
    31,915.56/47,875.50 = 8,544.36/x
  3. Step 3: Cross multiply
    31,915.56x = 47,875.50 × 8,544.36
  4. Step 4: Simplify right side
    31,915.56x = 409,065,507.18
  5. Step 5: Solve for x
    x = 409,065,507.18/31,915.56
  6. Step 6: Final answer
    x = 12,817.12

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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.