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Finding the Fourth Proportional to 65,209.90, 97,818.05 and 34,105.90

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Solution

The fourth proportional to 65,209.90, 97,818.05 and 34,105.90 is: 51,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.90 : 97,818.05 = 34,105.90 : x
  2. Step 2: Convert to fraction form
    65,209.90/97,818.05 = 34,105.90/x
  3. Step 3: Cross multiply
    65,209.90x = 97,818.05 × 34,105.90
  4. Step 4: Simplify right side
    65,209.90x = 3,336,172,631.50
  5. Step 5: Solve for x
    x = 3,336,172,631.50/65,209.90
  6. Step 6: Final answer
    x = 51,160.52

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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.