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Finding the Fourth Proportional to 106,033.68, 146,328.57 and 58,291.47

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Solution

The fourth proportional to 106,033.68, 146,328.57 and 58,291.47 is: 80,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.68 : 146,328.57 = 58,291.47 : x
  2. Step 2: Convert to fraction form
    106,033.68/146,328.57 = 58,291.47/x
  3. Step 3: Cross multiply
    106,033.68x = 146,328.57 × 58,291.47
  4. Step 4: Simplify right side
    106,033.68x = 8,529,707,448.30
  5. Step 5: Solve for x
    x = 8,529,707,448.30/106,033.68
  6. Step 6: Final answer
    x = 80,443.38

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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.