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Finding the Fourth Proportional to 106,392.29, 146,822.31 and 58,647.33

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Solution

The fourth proportional to 106,392.29, 146,822.31 and 58,647.33 is: 80,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.29 : 146,822.31 = 58,647.33 : x
  2. Step 2: Convert to fraction form
    106,392.29/146,822.31 = 58,647.33/x
  3. Step 3: Cross multiply
    106,392.29x = 146,822.31 × 58,647.33
  4. Step 4: Simplify right side
    106,392.29x = 8,610,736,465.93
  5. Step 5: Solve for x
    x = 8,610,736,465.93/106,392.29
  6. Step 6: Final answer
    x = 80,933.84

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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.