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Finding the Fourth Proportional to 40,797.67, 61,202.67 and 14,496.16

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Solution

The fourth proportional to 40,797.67, 61,202.67 and 14,496.16 is: 21,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,797.67 : 61,202.67 = 14,496.16 : x
  2. Step 2: Convert to fraction form
    40,797.67/61,202.67 = 14,496.16/x
  3. Step 3: Cross multiply
    40,797.67x = 61,202.67 × 14,496.16
  4. Step 4: Simplify right side
    40,797.67x = 887,203,390.73
  5. Step 5: Solve for x
    x = 887,203,390.73/40,797.67
  6. Step 6: Final answer
    x = 21,746.43

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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.