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Finding the Fourth Proportional to 78,643.60, 117,981.78 and 26,057.20

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Solution

The fourth proportional to 78,643.60, 117,981.78 and 26,057.20 is: 39,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.60 : 117,981.78 = 26,057.20 : x
  2. Step 2: Convert to fraction form
    78,643.60/117,981.78 = 26,057.20/x
  3. Step 3: Cross multiply
    78,643.60x = 117,981.78 × 26,057.20
  4. Step 4: Simplify right side
    78,643.60x = 3,074,274,837.82
  5. Step 5: Solve for x
    x = 3,074,274,837.82/78,643.60
  6. Step 6: Final answer
    x = 39,091.23

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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.