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Finding the Fourth Proportional to 31,306.32, 46,948.32 and 10,241.28

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Solution

The fourth proportional to 31,306.32, 46,948.32 and 10,241.28 is: 15,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.32 : 46,948.32 = 10,241.28 : x
  2. Step 2: Convert to fraction form
    31,306.32/46,948.32 = 10,241.28/x
  3. Step 3: Cross multiply
    31,306.32x = 46,948.32 × 10,241.28
  4. Step 4: Simplify right side
    31,306.32x = 480,810,890.65
  5. Step 5: Solve for x
    x = 480,810,890.65/31,306.32
  6. Step 6: Final answer
    x = 15,358.27

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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.