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Finding the Fourth Proportional to 27,802.88, 41,599.68 and 19,499.10

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Solution

The fourth proportional to 27,802.88, 41,599.68 and 19,499.10 is: 29,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.88 : 41,599.68 = 19,499.10 : x
  2. Step 2: Convert to fraction form
    27,802.88/41,599.68 = 19,499.10/x
  3. Step 3: Cross multiply
    27,802.88x = 41,599.68 × 19,499.10
  4. Step 4: Simplify right side
    27,802.88x = 811,156,320.29
  5. Step 5: Solve for x
    x = 811,156,320.29/27,802.88
  6. Step 6: Final answer
    x = 29,175.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.