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Finding the Fourth Proportional to 31,294.46, 46,941.17 and 7,602.20

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Solution

The fourth proportional to 31,294.46, 46,941.17 and 7,602.20 is: 11,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.46 : 46,941.17 = 7,602.20 : x
  2. Step 2: Convert to fraction form
    31,294.46/46,941.17 = 7,602.20/x
  3. Step 3: Cross multiply
    31,294.46x = 46,941.17 × 7,602.20
  4. Step 4: Simplify right side
    31,294.46x = 356,856,241.92
  5. Step 5: Solve for x
    x = 356,856,241.92/31,294.46
  6. Step 6: Final answer
    x = 11,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.