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Finding the Fourth Proportional to 31,332.30, 46,998.58 and 7,958.66

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Solution

The fourth proportional to 31,332.30, 46,998.58 and 7,958.66 is: 11,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332.30 : 46,998.58 = 7,958.66 : x
  2. Step 2: Convert to fraction form
    31,332.30/46,998.58 = 7,958.66/x
  3. Step 3: Cross multiply
    31,332.30x = 46,998.58 × 7,958.66
  4. Step 4: Simplify right side
    31,332.30x = 374,045,718.70
  5. Step 5: Solve for x
    x = 374,045,718.70/31,332.30
  6. Step 6: Final answer
    x = 11,938.02

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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.