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Finding the Fourth Proportional to 31,536.81, 47,305.15 and 10,478.50

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Solution

The fourth proportional to 31,536.81, 47,305.15 and 10,478.50 is: 15,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536.81 : 47,305.15 = 10,478.50 : x
  2. Step 2: Convert to fraction form
    31,536.81/47,305.15 = 10,478.50/x
  3. Step 3: Cross multiply
    31,536.81x = 47,305.15 × 10,478.50
  4. Step 4: Simplify right side
    31,536.81x = 495,686,869.82
  5. Step 5: Solve for x
    x = 495,686,869.82/31,536.81
  6. Step 6: Final answer
    x = 15,717.72

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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.