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Finding the Fourth Proportional to 101,484, 152,226.54 and 27,612

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Solution

The fourth proportional to 101,484, 152,226.54 and 27,612 is: 41,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,484 : 152,226.54 = 27,612 : x
  2. Step 2: Convert to fraction form
    101,484/152,226.54 = 27,612/x
  3. Step 3: Cross multiply
    101,484x = 152,226.54 × 27,612
  4. Step 4: Simplify right side
    101,484x = 4,203,279,222.48
  5. Step 5: Solve for x
    x = 4,203,279,222.48/101,484
  6. Step 6: Final answer
    x = 41,418.15

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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.