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Finding the Fourth Proportional to 75,885.17, 113,828.03 and 23,294.66

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Solution

The fourth proportional to 75,885.17, 113,828.03 and 23,294.66 is: 34,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.17 : 113,828.03 = 23,294.66 : x
  2. Step 2: Convert to fraction form
    75,885.17/113,828.03 = 23,294.66/x
  3. Step 3: Cross multiply
    75,885.17x = 113,828.03 × 23,294.66
  4. Step 4: Simplify right side
    75,885.17x = 2,651,585,257.32
  5. Step 5: Solve for x
    x = 2,651,585,257.32/75,885.17
  6. Step 6: Final answer
    x = 34,942.07

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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.