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Finding the Fourth Proportional to 77,301.96, 115,965.96 and 23,981.64

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Solution

The fourth proportional to 77,301.96, 115,965.96 and 23,981.64 is: 35,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301.96 : 115,965.96 = 23,981.64 : x
  2. Step 2: Convert to fraction form
    77,301.96/115,965.96 = 23,981.64/x
  3. Step 3: Cross multiply
    77,301.96x = 115,965.96 × 23,981.64
  4. Step 4: Simplify right side
    77,301.96x = 2,781,053,904.97
  5. Step 5: Solve for x
    x = 2,781,053,904.97/77,301.96
  6. Step 6: Final answer
    x = 35,976.50

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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.