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Finding the Fourth Proportional to 55,498, 83,247.08 and 22,666

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Solution

The fourth proportional to 55,498, 83,247.08 and 22,666 is: 33,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,498 : 83,247.08 = 22,666 : x
  2. Step 2: Convert to fraction form
    55,498/83,247.08 = 22,666/x
  3. Step 3: Cross multiply
    55,498x = 83,247.08 × 22,666
  4. Step 4: Simplify right side
    55,498x = 1,886,878,315.28
  5. Step 5: Solve for x
    x = 1,886,878,315.28/55,498
  6. Step 6: Final answer
    x = 33,999.03

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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.