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Finding the Fourth Proportional to 83,216.58, 124,762.50 and 27,023.10

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Solution

The fourth proportional to 83,216.58, 124,762.50 and 27,023.10 is: 40,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.58 : 124,762.50 = 27,023.10 : x
  2. Step 2: Convert to fraction form
    83,216.58/124,762.50 = 27,023.10/x
  3. Step 3: Cross multiply
    83,216.58x = 124,762.50 × 27,023.10
  4. Step 4: Simplify right side
    83,216.58x = 3,371,469,513.75
  5. Step 5: Solve for x
    x = 3,371,469,513.75/83,216.58
  6. Step 6: Final answer
    x = 40,514.40

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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.