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Finding the Fourth Proportional to 31,294.80, 46,937.29 and 10,234.67

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Solution

The fourth proportional to 31,294.80, 46,937.29 and 10,234.67 is: 15,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.80 : 46,937.29 = 10,234.67 : x
  2. Step 2: Convert to fraction form
    31,294.80/46,937.29 = 10,234.67/x
  3. Step 3: Cross multiply
    31,294.80x = 46,937.29 × 10,234.67
  4. Step 4: Simplify right side
    31,294.80x = 480,387,673.84
  5. Step 5: Solve for x
    x = 480,387,673.84/31,294.80
  6. Step 6: Final answer
    x = 15,350.40

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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.