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Finding the Fourth Proportional to 87,015, 130,522.54 and 37,767

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Solution

The fourth proportional to 87,015, 130,522.54 and 37,767 is: 56,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,015 : 130,522.54 = 37,767 : x
  2. Step 2: Convert to fraction form
    87,015/130,522.54 = 37,767/x
  3. Step 3: Cross multiply
    87,015x = 130,522.54 × 37,767
  4. Step 4: Simplify right side
    87,015x = 4,929,444,768.18
  5. Step 5: Solve for x
    x = 4,929,444,768.18/87,015
  6. Step 6: Final answer
    x = 56,650.52

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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.