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Finding the Fourth Proportional to 65,217.80, 97,826.70 and 52,095.80

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Solution

The fourth proportional to 65,217.80, 97,826.70 and 52,095.80 is: 78,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217.80 : 97,826.70 = 52,095.80 : x
  2. Step 2: Convert to fraction form
    65,217.80/97,826.70 = 52,095.80/x
  3. Step 3: Cross multiply
    65,217.80x = 97,826.70 × 52,095.80
  4. Step 4: Simplify right side
    65,217.80x = 5,096,360,197.86
  5. Step 5: Solve for x
    x = 5,096,360,197.86/65,217.80
  6. Step 6: Final answer
    x = 78,143.70

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1.5x scale

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.