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Finding the Fourth Proportional to 65,217.70, 97,826.55 and 61,281.10

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Solution

The fourth proportional to 65,217.70, 97,826.55 and 61,281.10 is: 91,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.70 : 97,826.55 = 61,281.10 : x
  2. Step 2: Convert to fraction form
    65,217.70/97,826.55 = 61,281.10/x
  3. Step 3: Cross multiply
    65,217.70x = 97,826.55 × 61,281.10
  4. Step 4: Simplify right side
    65,217.70x = 5,994,918,593.21
  5. Step 5: Solve for x
    x = 5,994,918,593.21/65,217.70
  6. Step 6: Final answer
    x = 91,921.65

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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.