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Finding the Fourth Proportional to 65,199.20, 97,837.20 and 23,640.80

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Solution

The fourth proportional to 65,199.20, 97,837.20 and 23,640.80 is: 35,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.20 : 97,837.20 = 23,640.80 : x
  2. Step 2: Convert to fraction form
    65,199.20/97,837.20 = 23,640.80/x
  3. Step 3: Cross multiply
    65,199.20x = 97,837.20 × 23,640.80
  4. Step 4: Simplify right side
    65,199.20x = 2,312,949,677.76
  5. Step 5: Solve for x
    x = 2,312,949,677.76/65,199.20
  6. Step 6: Final answer
    x = 35,475.12

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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.