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Finding the Fourth Proportional to 55,987.94, 83,984.97 and 22,703.06

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Solution

The fourth proportional to 55,987.94, 83,984.97 and 22,703.06 is: 34,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,987.94 : 83,984.97 = 22,703.06 : x
  2. Step 2: Convert to fraction form
    55,987.94/83,984.97 = 22,703.06/x
  3. Step 3: Cross multiply
    55,987.94x = 83,984.97 × 22,703.06
  4. Step 4: Simplify right side
    55,987.94x = 1,906,715,813.01
  5. Step 5: Solve for x
    x = 1,906,715,813.01/55,987.94
  6. Step 6: Final answer
    x = 34,055.83

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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.