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Finding the Fourth Proportional to 32,700.38, 49,057.88 and 11,923.88

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Solution

The fourth proportional to 32,700.38, 49,057.88 and 11,923.88 is: 17,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700.38 : 49,057.88 = 11,923.88 : x
  2. Step 2: Convert to fraction form
    32,700.38/49,057.88 = 11,923.88/x
  3. Step 3: Cross multiply
    32,700.38x = 49,057.88 × 11,923.88
  4. Step 4: Simplify right side
    32,700.38x = 584,959,969.27
  5. Step 5: Solve for x
    x = 584,959,969.27/32,700.38
  6. Step 6: Final answer
    x = 17,888.48

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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.