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Finding the Fourth Proportional to 77,597.28, 116,388.36 and 25,044.48

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Solution

The fourth proportional to 77,597.28, 116,388.36 and 25,044.48 is: 37,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,597.28 : 116,388.36 = 25,044.48 : x
  2. Step 2: Convert to fraction form
    77,597.28/116,388.36 = 25,044.48/x
  3. Step 3: Cross multiply
    77,597.28x = 116,388.36 × 25,044.48
  4. Step 4: Simplify right side
    77,597.28x = 2,914,885,954.25
  5. Step 5: Solve for x
    x = 2,914,885,954.25/77,597.28
  6. Step 6: Final answer
    x = 37,564.28

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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.