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Finding the Fourth Proportional to 97,655.85, 134,764.43 and 55,214.55

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Solution

The fourth proportional to 97,655.85, 134,764.43 and 55,214.55 is: 76,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,655.85 : 134,764.43 = 55,214.55 : x
  2. Step 2: Convert to fraction form
    97,655.85/134,764.43 = 55,214.55/x
  3. Step 3: Cross multiply
    97,655.85x = 134,764.43 × 55,214.55
  4. Step 4: Simplify right side
    97,655.85x = 7,440,957,082.38
  5. Step 5: Solve for x
    x = 7,440,957,082.38/97,655.85
  6. Step 6: Final answer
    x = 76,195.71

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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.