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Finding the Fourth Proportional to 65,156.32, 97,734.72 and 27,711.04

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Solution

The fourth proportional to 65,156.32, 97,734.72 and 27,711.04 is: 41,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.32 : 97,734.72 = 27,711.04 : x
  2. Step 2: Convert to fraction form
    65,156.32/97,734.72 = 27,711.04/x
  3. Step 3: Cross multiply
    65,156.32x = 97,734.72 × 27,711.04
  4. Step 4: Simplify right side
    65,156.32x = 2,708,330,735.31
  5. Step 5: Solve for x
    x = 2,708,330,735.31/65,156.32
  6. Step 6: Final answer
    x = 41,566.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.