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Finding the Fourth Proportional to 65,193.87, 97,805.48 and 35,207.45

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Solution

The fourth proportional to 65,193.87, 97,805.48 and 35,207.45 is: 52,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.87 : 97,805.48 = 35,207.45 : x
  2. Step 2: Convert to fraction form
    65,193.87/97,805.48 = 35,207.45/x
  3. Step 3: Cross multiply
    65,193.87x = 97,805.48 × 35,207.45
  4. Step 4: Simplify right side
    65,193.87x = 3,443,480,881.76
  5. Step 5: Solve for x
    x = 3,443,480,881.76/65,193.87
  6. Step 6: Final answer
    x = 52,819.09

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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.