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Finding the Fourth Proportional to 37,369.08, 55,805.92 and 32,842

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Solution

The fourth proportional to 37,369.08, 55,805.92 and 32,842 is: 49,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,369.08 : 55,805.92 = 32,842 : x
  2. Step 2: Convert to fraction form
    37,369.08/55,805.92 = 32,842/x
  3. Step 3: Cross multiply
    37,369.08x = 55,805.92 × 32,842
  4. Step 4: Simplify right side
    37,369.08x = 1,832,778,024.64
  5. Step 5: Solve for x
    x = 1,832,778,024.64/37,369.08
  6. Step 6: Final answer
    x = 49,045.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.