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Finding the Fourth Proportional to 43,568.64, 65,335.68 and 22,809.60

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Solution

The fourth proportional to 43,568.64, 65,335.68 and 22,809.60 is: 34,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,568.64 : 65,335.68 = 22,809.60 : x
  2. Step 2: Convert to fraction form
    43,568.64/65,335.68 = 22,809.60/x
  3. Step 3: Cross multiply
    43,568.64x = 65,335.68 × 22,809.60
  4. Step 4: Simplify right side
    43,568.64x = 1,490,280,726.53
  5. Step 5: Solve for x
    x = 1,490,280,726.53/43,568.64
  6. Step 6: Final answer
    x = 34,205.35

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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.