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Finding the Fourth Proportional to 31,462, 47,200.30 and 10,685.52

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Solution

The fourth proportional to 31,462, 47,200.30 and 10,685.52 is: 16,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462 : 47,200.30 = 10,685.52 : x
  2. Step 2: Convert to fraction form
    31,462/47,200.30 = 10,685.52/x
  3. Step 3: Cross multiply
    31,462x = 47,200.30 × 10,685.52
  4. Step 4: Simplify right side
    31,462x = 504,359,749.66
  5. Step 5: Solve for x
    x = 504,359,749.66/31,462
  6. Step 6: Final answer
    x = 16,030.76

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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.