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Finding the Fourth Proportional to 30,463.97, 45,691.22 and 11,752.76

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Solution

The fourth proportional to 30,463.97, 45,691.22 and 11,752.76 is: 17,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.97 : 45,691.22 = 11,752.76 : x
  2. Step 2: Convert to fraction form
    30,463.97/45,691.22 = 11,752.76/x
  3. Step 3: Cross multiply
    30,463.97x = 45,691.22 × 11,752.76
  4. Step 4: Simplify right side
    30,463.97x = 536,998,086.38
  5. Step 5: Solve for x
    x = 536,998,086.38/30,463.97
  6. Step 6: Final answer
    x = 17,627.32

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1.5x scale

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.