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Finding the Fourth Proportional to 97,659.24, 134,773.38 and 55,215.24

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Solution

The fourth proportional to 97,659.24, 134,773.38 and 55,215.24 is: 76,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659.24 : 134,773.38 = 55,215.24 : x
  2. Step 2: Convert to fraction form
    97,659.24/134,773.38 = 55,215.24/x
  3. Step 3: Cross multiply
    97,659.24x = 134,773.38 × 55,215.24
  4. Step 4: Simplify right side
    97,659.24x = 7,441,544,522.31
  5. Step 5: Solve for x
    x = 7,441,544,522.31/97,659.24
  6. Step 6: Final answer
    x = 76,199.08

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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.