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Finding the Fourth Proportional to 65,217.40, 97,826.10 and 64,342.60

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Solution

The fourth proportional to 65,217.40, 97,826.10 and 64,342.60 is: 96,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.40 : 97,826.10 = 64,342.60 : x
  2. Step 2: Convert to fraction form
    65,217.40/97,826.10 = 64,342.60/x
  3. Step 3: Cross multiply
    65,217.40x = 97,826.10 × 64,342.60
  4. Step 4: Simplify right side
    65,217.40x = 6,294,385,621.86
  5. Step 5: Solve for x
    x = 6,294,385,621.86/65,217.40
  6. Step 6: Final answer
    x = 96,513.90

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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.