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Finding the Fourth Proportional to 68,802.79, 103,213.74 and 24,419

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Solution

The fourth proportional to 68,802.79, 103,213.74 and 24,419 is: 36,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,802.79 : 103,213.74 = 24,419 : x
  2. Step 2: Convert to fraction form
    68,802.79/103,213.74 = 24,419/x
  3. Step 3: Cross multiply
    68,802.79x = 103,213.74 × 24,419
  4. Step 4: Simplify right side
    68,802.79x = 2,520,376,317.06
  5. Step 5: Solve for x
    x = 2,520,376,317.06/68,802.79
  6. Step 6: Final answer
    x = 36,631.89

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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.