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Finding the Fourth Proportional to 65,206.60, 97,766.70 and 23,648.20

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Solution

The fourth proportional to 65,206.60, 97,766.70 and 23,648.20 is: 35,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.60 : 97,766.70 = 23,648.20 : x
  2. Step 2: Convert to fraction form
    65,206.60/97,766.70 = 23,648.20/x
  3. Step 3: Cross multiply
    65,206.60x = 97,766.70 × 23,648.20
  4. Step 4: Simplify right side
    65,206.60x = 2,312,006,474.94
  5. Step 5: Solve for x
    x = 2,312,006,474.94/65,206.60
  6. Step 6: Final answer
    x = 35,456.63

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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.