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Finding the Fourth Proportional to 68,182.66, 102,269.49 and 32,669.38

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Solution

The fourth proportional to 68,182.66, 102,269.49 and 32,669.38 is: 49,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,182.66 : 102,269.49 = 32,669.38 : x
  2. Step 2: Convert to fraction form
    68,182.66/102,269.49 = 32,669.38/x
  3. Step 3: Cross multiply
    68,182.66x = 102,269.49 × 32,669.38
  4. Step 4: Simplify right side
    68,182.66x = 3,341,080,831.22
  5. Step 5: Solve for x
    x = 3,341,080,831.22/68,182.66
  6. Step 6: Final answer
    x = 49,001.91

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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.