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Finding the Fourth Proportional to 31,465.92, 47,200.02 and 10,406.48

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Solution

The fourth proportional to 31,465.92, 47,200.02 and 10,406.48 is: 15,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.92 : 47,200.02 = 10,406.48 : x
  2. Step 2: Convert to fraction form
    31,465.92/47,200.02 = 10,406.48/x
  3. Step 3: Cross multiply
    31,465.92x = 47,200.02 × 10,406.48
  4. Step 4: Simplify right side
    31,465.92x = 491,185,789.11
  5. Step 5: Solve for x
    x = 491,185,789.11/31,465.92
  6. Step 6: Final answer
    x = 15,610.09

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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.