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Finding the Fourth Proportional to 31,542.60, 47,215.46 and 23,232

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Solution

The fourth proportional to 31,542.60, 47,215.46 and 23,232 is: 34,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.60 : 47,215.46 = 23,232 : x
  2. Step 2: Convert to fraction form
    31,542.60/47,215.46 = 23,232/x
  3. Step 3: Cross multiply
    31,542.60x = 47,215.46 × 23,232
  4. Step 4: Simplify right side
    31,542.60x = 1,096,909,566.72
  5. Step 5: Solve for x
    x = 1,096,909,566.72/31,542.60
  6. Step 6: Final answer
    x = 34,775.50

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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.