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Finding the Fourth Proportional to 75,555.64, 113,358.09 and 36,115.82

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Solution

The fourth proportional to 75,555.64, 113,358.09 and 36,115.82 is: 54,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,555.64 : 113,358.09 = 36,115.82 : x
  2. Step 2: Convert to fraction form
    75,555.64/113,358.09 = 36,115.82/x
  3. Step 3: Cross multiply
    75,555.64x = 113,358.09 × 36,115.82
  4. Step 4: Simplify right side
    75,555.64x = 4,094,019,807.19
  5. Step 5: Solve for x
    x = 4,094,019,807.19/75,555.64
  6. Step 6: Final answer
    x = 54,185.50

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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.