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Finding the Fourth Proportional to 77,797.02, 116,740.80 and 32,815.56

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Solution

The fourth proportional to 77,797.02, 116,740.80 and 32,815.56 is: 49,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,797.02 : 116,740.80 = 32,815.56 : x
  2. Step 2: Convert to fraction form
    77,797.02/116,740.80 = 32,815.56/x
  3. Step 3: Cross multiply
    77,797.02x = 116,740.80 × 32,815.56
  4. Step 4: Simplify right side
    77,797.02x = 3,830,914,726.85
  5. Step 5: Solve for x
    x = 3,830,914,726.85/77,797.02
  6. Step 6: Final answer
    x = 49,242.44

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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.