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Finding the Fourth Proportional to 106,807.70, 160,211.55 and 27,929.90

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Solution

The fourth proportional to 106,807.70, 160,211.55 and 27,929.90 is: 41,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.70 : 160,211.55 = 27,929.90 : x
  2. Step 2: Convert to fraction form
    106,807.70/160,211.55 = 27,929.90/x
  3. Step 3: Cross multiply
    106,807.70x = 160,211.55 × 27,929.90
  4. Step 4: Simplify right side
    106,807.70x = 4,474,692,570.35
  5. Step 5: Solve for x
    x = 4,474,692,570.35/106,807.70
  6. Step 6: Final answer
    x = 41,894.85

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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.