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Finding the Fourth Proportional to 55,952.91, 83,952.45 and 22,664.51

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Solution

The fourth proportional to 55,952.91, 83,952.45 and 22,664.51 is: 34,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.91 : 83,952.45 = 22,664.51 : x
  2. Step 2: Convert to fraction form
    55,952.91/83,952.45 = 22,664.51/x
  3. Step 3: Cross multiply
    55,952.91x = 83,952.45 × 22,664.51
  4. Step 4: Simplify right side
    55,952.91x = 1,902,741,037.61
  5. Step 5: Solve for x
    x = 1,902,741,037.61/55,952.91
  6. Step 6: Final answer
    x = 34,006.11

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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.