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Finding the Fourth Proportional to 137,751.91, 206,601 and 37,886.47

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Solution

The fourth proportional to 137,751.91, 206,601 and 37,886.47 is: 56,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.91 : 206,601 = 37,886.47 : x
  2. Step 2: Convert to fraction form
    137,751.91/206,601 = 37,886.47/x
  3. Step 3: Cross multiply
    137,751.91x = 206,601 × 37,886.47
  4. Step 4: Simplify right side
    137,751.91x = 7,827,382,588.47
  5. Step 5: Solve for x
    x = 7,827,382,588.47/137,751.91
  6. Step 6: Final answer
    x = 56,822.32

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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.