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Finding the Fourth Proportional to 121,083.54, 181,652.95 and 36,855.64

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Solution

The fourth proportional to 121,083.54, 181,652.95 and 36,855.64 is: 55,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083.54 : 181,652.95 = 36,855.64 : x
  2. Step 2: Convert to fraction form
    121,083.54/181,652.95 = 36,855.64/x
  3. Step 3: Cross multiply
    121,083.54x = 181,652.95 × 36,855.64
  4. Step 4: Simplify right side
    121,083.54x = 6,694,935,730.14
  5. Step 5: Solve for x
    x = 6,694,935,730.14/121,083.54
  6. Step 6: Final answer
    x = 55,291.87

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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.