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Finding the Fourth Proportional to 32,908.78, 45,381.75 and 30,176.85

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Solution

The fourth proportional to 32,908.78, 45,381.75 and 30,176.85 is: 41,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908.78 : 45,381.75 = 30,176.85 : x
  2. Step 2: Convert to fraction form
    32,908.78/45,381.75 = 30,176.85/x
  3. Step 3: Cross multiply
    32,908.78x = 45,381.75 × 30,176.85
  4. Step 4: Simplify right side
    32,908.78x = 1,369,478,262.49
  5. Step 5: Solve for x
    x = 1,369,478,262.49/32,908.78
  6. Step 6: Final answer
    x = 41,614.38

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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.