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Finding the Fourth Proportional to 31,772.28, 47,657.86 and 7,756.81

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Solution

The fourth proportional to 31,772.28, 47,657.86 and 7,756.81 is: 11,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.28 : 47,657.86 = 7,756.81 : x
  2. Step 2: Convert to fraction form
    31,772.28/47,657.86 = 7,756.81/x
  3. Step 3: Cross multiply
    31,772.28x = 47,657.86 × 7,756.81
  4. Step 4: Simplify right side
    31,772.28x = 369,672,965.03
  5. Step 5: Solve for x
    x = 369,672,965.03/31,772.28
  6. Step 6: Final answer
    x = 11,635.08

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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.