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Finding the Fourth Proportional to 83,024, 124,537.08 and 27,620

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Solution

The fourth proportional to 83,024, 124,537.08 and 27,620 is: 41,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024 : 124,537.08 = 27,620 : x
  2. Step 2: Convert to fraction form
    83,024/124,537.08 = 27,620/x
  3. Step 3: Cross multiply
    83,024x = 124,537.08 × 27,620
  4. Step 4: Simplify right side
    83,024x = 3,439,714,149.60
  5. Step 5: Solve for x
    x = 3,439,714,149.60/83,024
  6. Step 6: Final answer
    x = 41,430.36

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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.