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Finding the Fourth Proportional to 102,568.40, 153,823.80 and 32,469.20

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Solution

The fourth proportional to 102,568.40, 153,823.80 and 32,469.20 is: 48,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568.40 : 153,823.80 = 32,469.20 : x
  2. Step 2: Convert to fraction form
    102,568.40/153,823.80 = 32,469.20/x
  3. Step 3: Cross multiply
    102,568.40x = 153,823.80 × 32,469.20
  4. Step 4: Simplify right side
    102,568.40x = 4,994,535,726.96
  5. Step 5: Solve for x
    x = 4,994,535,726.96/102,568.40
  6. Step 6: Final answer
    x = 48,694.68

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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.