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Finding the Fourth Proportional to 31,756.35, 47,637.71 and 8,382.78

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Solution

The fourth proportional to 31,756.35, 47,637.71 and 8,382.78 is: 12,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.35 : 47,637.71 = 8,382.78 : x
  2. Step 2: Convert to fraction form
    31,756.35/47,637.71 = 8,382.78/x
  3. Step 3: Cross multiply
    31,756.35x = 47,637.71 × 8,382.78
  4. Step 4: Simplify right side
    31,756.35x = 399,336,442.63
  5. Step 5: Solve for x
    x = 399,336,442.63/31,756.35
  6. Step 6: Final answer
    x = 12,575.01

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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.