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Finding the Fourth Proportional to 51,165.26, 70,581.03 and 35,222.12

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Solution

The fourth proportional to 51,165.26, 70,581.03 and 35,222.12 is: 48,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.26 : 70,581.03 = 35,222.12 : x
  2. Step 2: Convert to fraction form
    51,165.26/70,581.03 = 35,222.12/x
  3. Step 3: Cross multiply
    51,165.26x = 70,581.03 × 35,222.12
  4. Step 4: Simplify right side
    51,165.26x = 2,486,013,508.38
  5. Step 5: Solve for x
    x = 2,486,013,508.38/51,165.26
  6. Step 6: Final answer
    x = 48,587.92

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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.