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Finding the Fourth Proportional to 27,817.84, 38,396.88 and 24,081.16

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Solution

The fourth proportional to 27,817.84, 38,396.88 and 24,081.16 is: 33,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.84 : 38,396.88 = 24,081.16 : x
  2. Step 2: Convert to fraction form
    27,817.84/38,396.88 = 24,081.16/x
  3. Step 3: Cross multiply
    27,817.84x = 38,396.88 × 24,081.16
  4. Step 4: Simplify right side
    27,817.84x = 924,641,410.78
  5. Step 5: Solve for x
    x = 924,641,410.78/27,817.84
  6. Step 6: Final answer
    x = 33,239.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.