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Finding the Fourth Proportional to 106,038.70, 158,941.41 and 43,675.18

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Solution

The fourth proportional to 106,038.70, 158,941.41 and 43,675.18 is: 65,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038.70 : 158,941.41 = 43,675.18 : x
  2. Step 2: Convert to fraction form
    106,038.70/158,941.41 = 43,675.18/x
  3. Step 3: Cross multiply
    106,038.70x = 158,941.41 × 43,675.18
  4. Step 4: Simplify right side
    106,038.70x = 6,941,794,691.20
  5. Step 5: Solve for x
    x = 6,941,794,691.20/106,038.70
  6. Step 6: Final answer
    x = 65,464.73

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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.