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Finding the Fourth Proportional to 73,214.86, 109,782.82 and 39,498.95

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Solution

The fourth proportional to 73,214.86, 109,782.82 and 39,498.95 is: 59,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.86 : 109,782.82 = 39,498.95 : x
  2. Step 2: Convert to fraction form
    73,214.86/109,782.82 = 39,498.95/x
  3. Step 3: Cross multiply
    73,214.86x = 109,782.82 × 39,498.95
  4. Step 4: Simplify right side
    73,214.86x = 4,336,305,813.45
  5. Step 5: Solve for x
    x = 4,336,305,813.45/73,214.86
  6. Step 6: Final answer
    x = 59,227.13

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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.