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Finding the Fourth Proportional to 36,726, 55,097.64 and 12,102

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Solution

The fourth proportional to 36,726, 55,097.64 and 12,102 is: 18,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,726 : 55,097.64 = 12,102 : x
  2. Step 2: Convert to fraction form
    36,726/55,097.64 = 12,102/x
  3. Step 3: Cross multiply
    36,726x = 55,097.64 × 12,102
  4. Step 4: Simplify right side
    36,726x = 666,791,639.28
  5. Step 5: Solve for x
    x = 666,791,639.28/36,726
  6. Step 6: Final answer
    x = 18,155.85

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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.