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Finding the Fourth Proportional to 97,695.96, 134,845.77 and 55,279.10

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Solution

The fourth proportional to 97,695.96, 134,845.77 and 55,279.10 is: 76,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.96 : 134,845.77 = 55,279.10 : x
  2. Step 2: Convert to fraction form
    97,695.96/134,845.77 = 55,279.10/x
  3. Step 3: Cross multiply
    97,695.96x = 134,845.77 × 55,279.10
  4. Step 4: Simplify right side
    97,695.96x = 7,454,151,853.78
  5. Step 5: Solve for x
    x = 7,454,151,853.78/97,695.96
  6. Step 6: Final answer
    x = 76,299.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.