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Finding the Fourth Proportional to 31,166.64, 46,759.68 and 10,404.72

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Solution

The fourth proportional to 31,166.64, 46,759.68 and 10,404.72 is: 15,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.64 : 46,759.68 = 10,404.72 : x
  2. Step 2: Convert to fraction form
    31,166.64/46,759.68 = 10,404.72/x
  3. Step 3: Cross multiply
    31,166.64x = 46,759.68 × 10,404.72
  4. Step 4: Simplify right side
    31,166.64x = 486,521,377.69
  5. Step 5: Solve for x
    x = 486,521,377.69/31,166.64
  6. Step 6: Final answer
    x = 15,610.32

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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.