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Finding the Fourth Proportional to 31,488.94, 47,230.37 and 10,428.13

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Solution

The fourth proportional to 31,488.94, 47,230.37 and 10,428.13 is: 15,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.94 : 47,230.37 = 10,428.13 : x
  2. Step 2: Convert to fraction form
    31,488.94/47,230.37 = 10,428.13/x
  3. Step 3: Cross multiply
    31,488.94x = 47,230.37 × 10,428.13
  4. Step 4: Simplify right side
    31,488.94x = 492,524,438.31
  5. Step 5: Solve for x
    x = 492,524,438.31/31,488.94
  6. Step 6: Final answer
    x = 15,641.19

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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.