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Finding the Fourth Proportional to 49,088.62, 73,611.06 and 17,902

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Solution

The fourth proportional to 49,088.62, 73,611.06 and 17,902 is: 26,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,088.62 : 73,611.06 = 17,902 : x
  2. Step 2: Convert to fraction form
    49,088.62/73,611.06 = 17,902/x
  3. Step 3: Cross multiply
    49,088.62x = 73,611.06 × 17,902
  4. Step 4: Simplify right side
    49,088.62x = 1,317,785,196.12
  5. Step 5: Solve for x
    x = 1,317,785,196.12/49,088.62
  6. Step 6: Final answer
    x = 26,845.02

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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.