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Finding the Fourth Proportional to 77,754.40, 116,635.28 and 25,168

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Solution

The fourth proportional to 77,754.40, 116,635.28 and 25,168 is: 37,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.40 : 116,635.28 = 25,168 : x
  2. Step 2: Convert to fraction form
    77,754.40/116,635.28 = 25,168/x
  3. Step 3: Cross multiply
    77,754.40x = 116,635.28 × 25,168
  4. Step 4: Simplify right side
    77,754.40x = 2,935,476,727.04
  5. Step 5: Solve for x
    x = 2,935,476,727.04/77,754.40
  6. Step 6: Final answer
    x = 37,753.19

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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.