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Finding the Fourth Proportional to 31,332.24, 46,998.72 and 7,958.70

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Solution

The fourth proportional to 31,332.24, 46,998.72 and 7,958.70 is: 11,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332.24 : 46,998.72 = 7,958.70 : x
  2. Step 2: Convert to fraction form
    31,332.24/46,998.72 = 7,958.70/x
  3. Step 3: Cross multiply
    31,332.24x = 46,998.72 × 7,958.70
  4. Step 4: Simplify right side
    31,332.24x = 374,048,712.86
  5. Step 5: Solve for x
    x = 374,048,712.86/31,332.24
  6. Step 6: Final answer
    x = 11,938.14

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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.