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Finding the Fourth Proportional to 31,612.64, 47,418.48 and 9,426.11

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Solution

The fourth proportional to 31,612.64, 47,418.48 and 9,426.11 is: 14,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.64 : 47,418.48 = 9,426.11 : x
  2. Step 2: Convert to fraction form
    31,612.64/47,418.48 = 9,426.11/x
  3. Step 3: Cross multiply
    31,612.64x = 47,418.48 × 9,426.11
  4. Step 4: Simplify right side
    31,612.64x = 446,971,571.42
  5. Step 5: Solve for x
    x = 446,971,571.42/31,612.64
  6. Step 6: Final answer
    x = 14,139.02

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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.