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Finding the Fourth Proportional to 106,777.77, 160,168.20 and 27,892

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Solution

The fourth proportional to 106,777.77, 160,168.20 and 27,892 is: 41,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,777.77 : 160,168.20 = 27,892 : x
  2. Step 2: Convert to fraction form
    106,777.77/160,168.20 = 27,892/x
  3. Step 3: Cross multiply
    106,777.77x = 160,168.20 × 27,892
  4. Step 4: Simplify right side
    106,777.77x = 4,467,411,434.40
  5. Step 5: Solve for x
    x = 4,467,411,434.40/106,777.77
  6. Step 6: Final answer
    x = 41,838.40

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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.