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Finding the Fourth Proportional to 31,279.60, 46,920.01 and 10,219.71

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Solution

The fourth proportional to 31,279.60, 46,920.01 and 10,219.71 is: 15,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.60 : 46,920.01 = 10,219.71 : x
  2. Step 2: Convert to fraction form
    31,279.60/46,920.01 = 10,219.71/x
  3. Step 3: Cross multiply
    31,279.60x = 46,920.01 × 10,219.71
  4. Step 4: Simplify right side
    31,279.60x = 479,508,895.40
  5. Step 5: Solve for x
    x = 479,508,895.40/31,279.60
  6. Step 6: Final answer
    x = 15,329.76

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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.