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Finding the Fourth Proportional to 32,018.64, 44,170 and 20,697.84

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Solution

The fourth proportional to 32,018.64, 44,170 and 20,697.84 is: 28,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.64 : 44,170 = 20,697.84 : x
  2. Step 2: Convert to fraction form
    32,018.64/44,170 = 20,697.84/x
  3. Step 3: Cross multiply
    32,018.64x = 44,170 × 20,697.84
  4. Step 4: Simplify right side
    32,018.64x = 914,223,592.80
  5. Step 5: Solve for x
    x = 914,223,592.80/32,018.64
  6. Step 6: Final answer
    x = 28,552.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.