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Finding the Fourth Proportional to 69,658.16, 96,127.38 and 37,827.27

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Solution

The fourth proportional to 69,658.16, 96,127.38 and 37,827.27 is: 52,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,658.16 : 96,127.38 = 37,827.27 : x
  2. Step 2: Convert to fraction form
    69,658.16/96,127.38 = 37,827.27/x
  3. Step 3: Cross multiply
    69,658.16x = 96,127.38 × 37,827.27
  4. Step 4: Simplify right side
    69,658.16x = 3,636,236,357.65
  5. Step 5: Solve for x
    x = 3,636,236,357.65/69,658.16
  6. Step 6: Final answer
    x = 52,201.16

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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.