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Finding the Fourth Proportional to 65,295.20, 97,942.80 and 32,036.60

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Solution

The fourth proportional to 65,295.20, 97,942.80 and 32,036.60 is: 48,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.20 : 97,942.80 = 32,036.60 : x
  2. Step 2: Convert to fraction form
    65,295.20/97,942.80 = 32,036.60/x
  3. Step 3: Cross multiply
    65,295.20x = 97,942.80 × 32,036.60
  4. Step 4: Simplify right side
    65,295.20x = 3,137,754,306.48
  5. Step 5: Solve for x
    x = 3,137,754,306.48/65,295.20
  6. Step 6: Final answer
    x = 48,054.90

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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.