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Finding the Fourth Proportional to 32,534.40, 48,817.80 and 18,505.20

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Solution

The fourth proportional to 32,534.40, 48,817.80 and 18,505.20 is: 27,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.40 : 48,817.80 = 18,505.20 : x
  2. Step 2: Convert to fraction form
    32,534.40/48,817.80 = 18,505.20/x
  3. Step 3: Cross multiply
    32,534.40x = 48,817.80 × 18,505.20
  4. Step 4: Simplify right side
    32,534.40x = 903,383,152.56
  5. Step 5: Solve for x
    x = 903,383,152.56/32,534.40
  6. Step 6: Final answer
    x = 27,767.01

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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.