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Finding the Fourth Proportional to 32,646.84, 48,976.02 and 11,593.32

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Solution

The fourth proportional to 32,646.84, 48,976.02 and 11,593.32 is: 17,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.84 : 48,976.02 = 11,593.32 : x
  2. Step 2: Convert to fraction form
    32,646.84/48,976.02 = 11,593.32/x
  3. Step 3: Cross multiply
    32,646.84x = 48,976.02 × 11,593.32
  4. Step 4: Simplify right side
    32,646.84x = 567,794,672.19
  5. Step 5: Solve for x
    x = 567,794,672.19/32,646.84
  6. Step 6: Final answer
    x = 17,392.03

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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.