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Finding the Fourth Proportional to 31,502.80, 47,254.20 and 15,756.40

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Solution

The fourth proportional to 31,502.80, 47,254.20 and 15,756.40 is: 23,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.80 : 47,254.20 = 15,756.40 : x
  2. Step 2: Convert to fraction form
    31,502.80/47,254.20 = 15,756.40/x
  3. Step 3: Cross multiply
    31,502.80x = 47,254.20 × 15,756.40
  4. Step 4: Simplify right side
    31,502.80x = 744,556,076.88
  5. Step 5: Solve for x
    x = 744,556,076.88/31,502.80
  6. Step 6: Final answer
    x = 23,634.60

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