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Finding the Fourth Proportional to 32,648.64, 45,056.16 and 17,744.64

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Solution

The fourth proportional to 32,648.64, 45,056.16 and 17,744.64 is: 24,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.64 : 45,056.16 = 17,744.64 : x
  2. Step 2: Convert to fraction form
    32,648.64/45,056.16 = 17,744.64/x
  3. Step 3: Cross multiply
    32,648.64x = 45,056.16 × 17,744.64
  4. Step 4: Simplify right side
    32,648.64x = 799,505,338.98
  5. Step 5: Solve for x
    x = 799,505,338.98/32,648.64
  6. Step 6: Final answer
    x = 24,488.17

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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.