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Finding the Fourth Proportional to 55,397.98, 83,046.75 and 22,111.03

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Solution

The fourth proportional to 55,397.98, 83,046.75 and 22,111.03 is: 33,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,397.98 : 83,046.75 = 22,111.03 : x
  2. Step 2: Convert to fraction form
    55,397.98/83,046.75 = 22,111.03/x
  3. Step 3: Cross multiply
    55,397.98x = 83,046.75 × 22,111.03
  4. Step 4: Simplify right side
    55,397.98x = 1,836,249,180.65
  5. Step 5: Solve for x
    x = 1,836,249,180.65/55,397.98
  6. Step 6: Final answer
    x = 33,146.50

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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.