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Finding the Fourth Proportional to 65,060.40, 97,524.06 and 36,921

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Solution

The fourth proportional to 65,060.40, 97,524.06 and 36,921 is: 55,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,060.40 : 97,524.06 = 36,921 : x
  2. Step 2: Convert to fraction form
    65,060.40/97,524.06 = 36,921/x
  3. Step 3: Cross multiply
    65,060.40x = 97,524.06 × 36,921
  4. Step 4: Simplify right side
    65,060.40x = 3,600,685,819.26
  5. Step 5: Solve for x
    x = 3,600,685,819.26/65,060.40
  6. Step 6: Final answer
    x = 55,343.74

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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.