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Finding the Fourth Proportional to 31,139.26, 46,711.51 and 9,796.87

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Solution

The fourth proportional to 31,139.26, 46,711.51 and 9,796.87 is: 14,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139.26 : 46,711.51 = 9,796.87 : x
  2. Step 2: Convert to fraction form
    31,139.26/46,711.51 = 9,796.87/x
  3. Step 3: Cross multiply
    31,139.26x = 46,711.51 × 9,796.87
  4. Step 4: Simplify right side
    31,139.26x = 457,626,624.87
  5. Step 5: Solve for x
    x = 457,626,624.87/31,139.26
  6. Step 6: Final answer
    x = 14,696.13

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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.