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Finding the Fourth Proportional to 31,833.76, 47,516.96 and 29,488

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Solution

The fourth proportional to 31,833.76, 47,516.96 and 29,488 is: 44,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.76 : 47,516.96 = 29,488 : x
  2. Step 2: Convert to fraction form
    31,833.76/47,516.96 = 29,488/x
  3. Step 3: Cross multiply
    31,833.76x = 47,516.96 × 29,488
  4. Step 4: Simplify right side
    31,833.76x = 1,401,180,116.48
  5. Step 5: Solve for x
    x = 1,401,180,116.48/31,833.76
  6. Step 6: Final answer
    x = 44,015.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.