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Finding the Fourth Proportional to 50,976,709.16, 76,488,978.56 and 25,419,711.47

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Solution

The fourth proportional to 50,976,709.16, 76,488,978.56 and 25,419,711.47 is: 38,141,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976,709.16 : 76,488,978.56 = 25,419,711.47 : x
  2. Step 2: Convert to fraction form
    50,976,709.16/76,488,978.56 = 25,419,711.47/x
  3. Step 3: Cross multiply
    50,976,709.16x = 76,488,978.56 × 25,419,711.47
  4. Step 4: Simplify right side
    50,976,709.16x = 1,944,327,765,630,216
  5. Step 5: Solve for x
    x = 1,944,327,765,630,216/50,976,709.16
  6. Step 6: Final answer
    x = 38,141,492.41

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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.