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Finding the Fourth Proportional to 72,805.50, 109,208.12 and 41,618.88

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Solution

The fourth proportional to 72,805.50, 109,208.12 and 41,618.88 is: 62,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 109,208.12 = 41,618.88 : x
  2. Step 2: Convert to fraction form
    72,805.50/109,208.12 = 41,618.88/x
  3. Step 3: Cross multiply
    72,805.50x = 109,208.12 × 41,618.88
  4. Step 4: Simplify right side
    72,805.50x = 4,545,119,433.21
  5. Step 5: Solve for x
    x = 4,545,119,433.21/72,805.50
  6. Step 6: Final answer
    x = 62,428.24

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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.