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Finding the Fourth Proportional to 31,672.60, 47,489.70 and 15,859.24

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Solution

The fourth proportional to 31,672.60, 47,489.70 and 15,859.24 is: 23,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.60 : 47,489.70 = 15,859.24 : x
  2. Step 2: Convert to fraction form
    31,672.60/47,489.70 = 15,859.24/x
  3. Step 3: Cross multiply
    31,672.60x = 47,489.70 × 15,859.24
  4. Step 4: Simplify right side
    31,672.60x = 753,150,549.83
  5. Step 5: Solve for x
    x = 753,150,549.83/31,672.60
  6. Step 6: Final answer
    x = 23,779.25

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1.5x scale

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.