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Finding the Fourth Proportional to 31,295.30, 46,938.04 and 10,235.17

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Solution

The fourth proportional to 31,295.30, 46,938.04 and 10,235.17 is: 15,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.30 : 46,938.04 = 10,235.17 : x
  2. Step 2: Convert to fraction form
    31,295.30/46,938.04 = 10,235.17/x
  3. Step 3: Cross multiply
    31,295.30x = 46,938.04 × 10,235.17
  4. Step 4: Simplify right side
    31,295.30x = 480,418,818.87
  5. Step 5: Solve for x
    x = 480,418,818.87/31,295.30
  6. Step 6: Final answer
    x = 15,351.15

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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.