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Finding the Fourth Proportional to 31,875.66, 47,813.49 and 15,185.12

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Solution

The fourth proportional to 31,875.66, 47,813.49 and 15,185.12 is: 22,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.66 : 47,813.49 = 15,185.12 : x
  2. Step 2: Convert to fraction form
    31,875.66/47,813.49 = 15,185.12/x
  3. Step 3: Cross multiply
    31,875.66x = 47,813.49 × 15,185.12
  4. Step 4: Simplify right side
    31,875.66x = 726,053,344.20
  5. Step 5: Solve for x
    x = 726,053,344.20/31,875.66
  6. Step 6: Final answer
    x = 22,777.67

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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.