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Finding the Fourth Proportional to 64,492.56, 96,776.19 and 27,049.29

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Solution

The fourth proportional to 64,492.56, 96,776.19 and 27,049.29 is: 40,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,492.56 : 96,776.19 = 27,049.29 : x
  2. Step 2: Convert to fraction form
    64,492.56/96,776.19 = 27,049.29/x
  3. Step 3: Cross multiply
    64,492.56x = 96,776.19 × 27,049.29
  4. Step 4: Simplify right side
    64,492.56x = 2,617,727,228.41
  5. Step 5: Solve for x
    x = 2,617,727,228.41/64,492.56
  6. Step 6: Final answer
    x = 40,589.60

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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.