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Finding the Fourth Proportional to 106,492.88, 159,700.44 and 36,353.36

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Solution

The fourth proportional to 106,492.88, 159,700.44 and 36,353.36 is: 54,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.88 : 159,700.44 = 36,353.36 : x
  2. Step 2: Convert to fraction form
    106,492.88/159,700.44 = 36,353.36/x
  3. Step 3: Cross multiply
    106,492.88x = 159,700.44 × 36,353.36
  4. Step 4: Simplify right side
    106,492.88x = 5,805,647,587.48
  5. Step 5: Solve for x
    x = 5,805,647,587.48/106,492.88
  6. Step 6: Final answer
    x = 54,516.77

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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.