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Finding the Fourth Proportional to 65,215.60, 97,859.85 and 27,769.30

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Solution

The fourth proportional to 65,215.60, 97,859.85 and 27,769.30 is: 41,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.60 : 97,859.85 = 27,769.30 : x
  2. Step 2: Convert to fraction form
    65,215.60/97,859.85 = 27,769.30/x
  3. Step 3: Cross multiply
    65,215.60x = 97,859.85 × 27,769.30
  4. Step 4: Simplify right side
    65,215.60x = 2,717,499,532.61
  5. Step 5: Solve for x
    x = 2,717,499,532.61/65,215.60
  6. Step 6: Final answer
    x = 41,669.47

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1.5x scale

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.