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Finding the Fourth Proportional to 65,656.27, 97,859.85 and 61,919.24

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Solution

The fourth proportional to 65,656.27, 97,859.85 and 61,919.24 is: 92,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656.27 : 97,859.85 = 61,919.24 : x
  2. Step 2: Convert to fraction form
    65,656.27/97,859.85 = 61,919.24/x
  3. Step 3: Cross multiply
    65,656.27x = 97,859.85 × 61,919.24
  4. Step 4: Simplify right side
    65,656.27x = 6,059,406,817.02
  5. Step 5: Solve for x
    x = 6,059,406,817.02/65,656.27
  6. Step 6: Final answer
    x = 92,289.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.