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Finding the Fourth Proportional to 31,643.60, 47,472.21 and 9,458.78

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Solution

The fourth proportional to 31,643.60, 47,472.21 and 9,458.78 is: 14,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.60 : 47,472.21 = 9,458.78 : x
  2. Step 2: Convert to fraction form
    31,643.60/47,472.21 = 9,458.78/x
  3. Step 3: Cross multiply
    31,643.60x = 47,472.21 × 9,458.78
  4. Step 4: Simplify right side
    31,643.60x = 449,028,953.14
  5. Step 5: Solve for x
    x = 449,028,953.14/31,643.60
  6. Step 6: Final answer
    x = 14,190.20

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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.