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Finding the Fourth Proportional to 55,473, 83,230.44 and 33,301.83

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Solution

The fourth proportional to 55,473, 83,230.44 and 33,301.83 is: 49,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,473 : 83,230.44 = 33,301.83 : x
  2. Step 2: Convert to fraction form
    55,473/83,230.44 = 33,301.83/x
  3. Step 3: Cross multiply
    55,473x = 83,230.44 × 33,301.83
  4. Step 4: Simplify right side
    55,473x = 2,771,725,963.71
  5. Step 5: Solve for x
    x = 2,771,725,963.71/55,473
  6. Step 6: Final answer
    x = 49,965.32

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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.