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Finding the Fourth Proportional to 31,672,808.20, 47,489,966.70 and 12,481,445.80

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Solution

The fourth proportional to 31,672,808.20, 47,489,966.70 and 12,481,445.80 is: 18,714,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672,808.20 : 47,489,966.70 = 12,481,445.80 : x
  2. Step 2: Convert to fraction form
    31,672,808.20/47,489,966.70 = 12,481,445.80/x
  3. Step 3: Cross multiply
    31,672,808.20x = 47,489,966.70 × 12,481,445.80
  4. Step 4: Simplify right side
    31,672,808.20x = 592,743,445,409,854.88
  5. Step 5: Solve for x
    x = 592,743,445,409,854.88/31,672,808.20
  6. Step 6: Final answer
    x = 18,714,584.50

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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.