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Finding the Fourth Proportional to 51,451.92, 77,190.60 and 36,624

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Solution

The fourth proportional to 51,451.92, 77,190.60 and 36,624 is: 54,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,451.92 : 77,190.60 = 36,624 : x
  2. Step 2: Convert to fraction form
    51,451.92/77,190.60 = 36,624/x
  3. Step 3: Cross multiply
    51,451.92x = 77,190.60 × 36,624
  4. Step 4: Simplify right side
    51,451.92x = 2,827,028,534.40
  5. Step 5: Solve for x
    x = 2,827,028,534.40/51,451.92
  6. Step 6: Final answer
    x = 54,945.05

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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.