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Finding the Fourth Proportional to 65,027.63, 89,747.66 and 38,184.84

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Solution

The fourth proportional to 65,027.63, 89,747.66 and 38,184.84 is: 52,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027.63 : 89,747.66 = 38,184.84 : x
  2. Step 2: Convert to fraction form
    65,027.63/89,747.66 = 38,184.84/x
  3. Step 3: Cross multiply
    65,027.63x = 89,747.66 × 38,184.84
  4. Step 4: Simplify right side
    65,027.63x = 3,427,000,132.94
  5. Step 5: Solve for x
    x = 3,427,000,132.94/65,027.63
  6. Step 6: Final answer
    x = 52,700.68

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1.5x scale

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.