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Finding the Fourth Proportional to 89,786.40, 134,533.80 and 56,446.80

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Solution

The fourth proportional to 89,786.40, 134,533.80 and 56,446.80 is: 84,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,786.40 : 134,533.80 = 56,446.80 : x
  2. Step 2: Convert to fraction form
    89,786.40/134,533.80 = 56,446.80/x
  3. Step 3: Cross multiply
    89,786.40x = 134,533.80 × 56,446.80
  4. Step 4: Simplify right side
    89,786.40x = 7,594,002,501.84
  5. Step 5: Solve for x
    x = 7,594,002,501.84/89,786.40
  6. Step 6: Final answer
    x = 84,578.54

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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.