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Finding the Fourth Proportional to 76,894.93, 115,180.26 and 48,800.17

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Solution

The fourth proportional to 76,894.93, 115,180.26 and 48,800.17 is: 73,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.93 : 115,180.26 = 48,800.17 : x
  2. Step 2: Convert to fraction form
    76,894.93/115,180.26 = 48,800.17/x
  3. Step 3: Cross multiply
    76,894.93x = 115,180.26 × 48,800.17
  4. Step 4: Simplify right side
    76,894.93x = 5,620,816,268.64
  5. Step 5: Solve for x
    x = 5,620,816,268.64/76,894.93
  6. Step 6: Final answer
    x = 73,097.36

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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.