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Finding the Fourth Proportional to 31,487.94, 47,228.87 and 10,427.13

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Solution

The fourth proportional to 31,487.94, 47,228.87 and 10,427.13 is: 15,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487.94 : 47,228.87 = 10,427.13 : x
  2. Step 2: Convert to fraction form
    31,487.94/47,228.87 = 10,427.13/x
  3. Step 3: Cross multiply
    31,487.94x = 47,228.87 × 10,427.13
  4. Step 4: Simplify right side
    31,487.94x = 492,461,593.31
  5. Step 5: Solve for x
    x = 492,461,593.31/31,487.94
  6. Step 6: Final answer
    x = 15,639.69

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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.