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Finding the Fourth Proportional to 87,016, 130,524.04 and 37,768

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Solution

The fourth proportional to 87,016, 130,524.04 and 37,768 is: 56,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016 : 130,524.04 = 37,768 : x
  2. Step 2: Convert to fraction form
    87,016/130,524.04 = 37,768/x
  3. Step 3: Cross multiply
    87,016x = 130,524.04 × 37,768
  4. Step 4: Simplify right side
    87,016x = 4,929,631,942.72
  5. Step 5: Solve for x
    x = 4,929,631,942.72/87,016
  6. Step 6: Final answer
    x = 56,652.02

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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.