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Finding the Fourth Proportional to 36,803.61, 55,205.28 and 9,101.61

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Solution

The fourth proportional to 36,803.61, 55,205.28 and 9,101.61 is: 13,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,803.61 : 55,205.28 = 9,101.61 : x
  2. Step 2: Convert to fraction form
    36,803.61/55,205.28 = 9,101.61/x
  3. Step 3: Cross multiply
    36,803.61x = 55,205.28 × 9,101.61
  4. Step 4: Simplify right side
    36,803.61x = 502,456,928.50
  5. Step 5: Solve for x
    x = 502,456,928.50/36,803.61
  6. Step 6: Final answer
    x = 13,652.38

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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.