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Finding the Fourth Proportional to 31,801.76, 47,709.76 and 10,741.04

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Solution

The fourth proportional to 31,801.76, 47,709.76 and 10,741.04 is: 16,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.76 : 47,709.76 = 10,741.04 : x
  2. Step 2: Convert to fraction form
    31,801.76/47,709.76 = 10,741.04/x
  3. Step 3: Cross multiply
    31,801.76x = 47,709.76 × 10,741.04
  4. Step 4: Simplify right side
    31,801.76x = 512,452,440.55
  5. Step 5: Solve for x
    x = 512,452,440.55/31,801.76
  6. Step 6: Final answer
    x = 16,113.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.