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Finding the Fourth Proportional to 29,471.97, 44,214.62 and 9,750.48

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Solution

The fourth proportional to 29,471.97, 44,214.62 and 9,750.48 is: 14,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.97 : 44,214.62 = 9,750.48 : x
  2. Step 2: Convert to fraction form
    29,471.97/44,214.62 = 9,750.48/x
  3. Step 3: Cross multiply
    29,471.97x = 44,214.62 × 9,750.48
  4. Step 4: Simplify right side
    29,471.97x = 431,113,719.27
  5. Step 5: Solve for x
    x = 431,113,719.27/29,471.97
  6. Step 6: Final answer
    x = 14,627.92

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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.