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Finding the Fourth Proportional to 55,382.84, 83,053.73 and 19,838.62

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Solution

The fourth proportional to 55,382.84, 83,053.73 and 19,838.62 is: 29,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.84 : 83,053.73 = 19,838.62 : x
  2. Step 2: Convert to fraction form
    55,382.84/83,053.73 = 19,838.62/x
  3. Step 3: Cross multiply
    55,382.84x = 83,053.73 × 19,838.62
  4. Step 4: Simplify right side
    55,382.84x = 1,647,671,231.01
  5. Step 5: Solve for x
    x = 1,647,671,231.01/55,382.84
  6. Step 6: Final answer
    x = 29,750.58

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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.