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Finding the Fourth Proportional to 32,404,806.40, 48,619,651.20 and 31,894,700.80

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Solution

The fourth proportional to 32,404,806.40, 48,619,651.20 and 31,894,700.80 is: 47,854,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404,806.40 : 48,619,651.20 = 31,894,700.80 : x
  2. Step 2: Convert to fraction form
    32,404,806.40/48,619,651.20 = 31,894,700.80/x
  3. Step 3: Cross multiply
    32,404,806.40x = 48,619,651.20 × 31,894,700.80
  4. Step 4: Simplify right side
    32,404,806.40x = 1,550,709,228,024,361
  5. Step 5: Solve for x
    x = 1,550,709,228,024,361/32,404,806.40
  6. Step 6: Final answer
    x = 47,854,296.95

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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.