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Finding the Fourth Proportional to 100,817.92, 151,226.88 and 26,944

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Solution

The fourth proportional to 100,817.92, 151,226.88 and 26,944 is: 40,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,817.92 : 151,226.88 = 26,944 : x
  2. Step 2: Convert to fraction form
    100,817.92/151,226.88 = 26,944/x
  3. Step 3: Cross multiply
    100,817.92x = 151,226.88 × 26,944
  4. Step 4: Simplify right side
    100,817.92x = 4,074,657,054.72
  5. Step 5: Solve for x
    x = 4,074,657,054.72/100,817.92
  6. Step 6: Final answer
    x = 40,416

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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.