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Finding the Fourth Proportional to 106,385.53, 146,810.28 and 58,643.32

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Solution

The fourth proportional to 106,385.53, 146,810.28 and 58,643.32 is: 80,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,385.53 : 146,810.28 = 58,643.32 : x
  2. Step 2: Convert to fraction form
    106,385.53/146,810.28 = 58,643.32/x
  3. Step 3: Cross multiply
    106,385.53x = 146,810.28 × 58,643.32
  4. Step 4: Simplify right side
    106,385.53x = 8,609,442,027.62
  5. Step 5: Solve for x
    x = 8,609,442,027.62/106,385.53
  6. Step 6: Final answer
    x = 80,926.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.