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Finding the Fourth Proportional to 77,295.74, 115,924.95 and 32,292.78

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Solution

The fourth proportional to 77,295.74, 115,924.95 and 32,292.78 is: 48,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,295.74 : 115,924.95 = 32,292.78 : x
  2. Step 2: Convert to fraction form
    77,295.74/115,924.95 = 32,292.78/x
  3. Step 3: Cross multiply
    77,295.74x = 115,924.95 × 32,292.78
  4. Step 4: Simplify right side
    77,295.74x = 3,743,538,906.86
  5. Step 5: Solve for x
    x = 3,743,538,906.86/77,295.74
  6. Step 6: Final answer
    x = 48,431.38

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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.