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Finding the Fourth Proportional to 109,952.72, 151,734.12 and 59,650.64

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Solution

The fourth proportional to 109,952.72, 151,734.12 and 59,650.64 is: 82,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,952.72 : 151,734.12 = 59,650.64 : x
  2. Step 2: Convert to fraction form
    109,952.72/151,734.12 = 59,650.64/x
  3. Step 3: Cross multiply
    109,952.72x = 151,734.12 × 59,650.64
  4. Step 4: Simplify right side
    109,952.72x = 9,051,037,367.84
  5. Step 5: Solve for x
    x = 9,051,037,367.84/109,952.72
  6. Step 6: Final answer
    x = 82,317.54

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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.