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Finding the Fourth Proportional to 31,818.42, 47,727.63 and 8,444.25

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Solution

The fourth proportional to 31,818.42, 47,727.63 and 8,444.25 is: 12,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.42 : 47,727.63 = 8,444.25 : x
  2. Step 2: Convert to fraction form
    31,818.42/47,727.63 = 8,444.25/x
  3. Step 3: Cross multiply
    31,818.42x = 47,727.63 × 8,444.25
  4. Step 4: Simplify right side
    31,818.42x = 403,024,039.63
  5. Step 5: Solve for x
    x = 403,024,039.63/31,818.42
  6. Step 6: Final answer
    x = 12,666.38

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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.