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Finding the Fourth Proportional to 32,832.30, 49,175.55 and 27,000.30

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Solution

The fourth proportional to 32,832.30, 49,175.55 and 27,000.30 is: 40,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.30 : 49,175.55 = 27,000.30 : x
  2. Step 2: Convert to fraction form
    32,832.30/49,175.55 = 27,000.30/x
  3. Step 3: Cross multiply
    32,832.30x = 49,175.55 × 27,000.30
  4. Step 4: Simplify right side
    32,832.30x = 1,327,754,602.67
  5. Step 5: Solve for x
    x = 1,327,754,602.67/32,832.30
  6. Step 6: Final answer
    x = 40,440.50

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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.