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Finding the Fourth Proportional to 106,393.42, 146,822.88 and 58,647.57

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Solution

The fourth proportional to 106,393.42, 146,822.88 and 58,647.57 is: 80,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.42 : 146,822.88 = 58,647.57 : x
  2. Step 2: Convert to fraction form
    106,393.42/146,822.88 = 58,647.57/x
  3. Step 3: Cross multiply
    106,393.42x = 146,822.88 × 58,647.57
  4. Step 4: Simplify right side
    106,393.42x = 8,610,805,132.40
  5. Step 5: Solve for x
    x = 8,610,805,132.40/106,393.42
  6. Step 6: Final answer
    x = 80,933.62

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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.