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Finding the Fourth Proportional to 75,616.68, 113,431.32 and 23,026.62

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Solution

The fourth proportional to 75,616.68, 113,431.32 and 23,026.62 is: 34,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.68 : 113,431.32 = 23,026.62 : x
  2. Step 2: Convert to fraction form
    75,616.68/113,431.32 = 23,026.62/x
  3. Step 3: Cross multiply
    75,616.68x = 113,431.32 × 23,026.62
  4. Step 4: Simplify right side
    75,616.68x = 2,611,939,901.74
  5. Step 5: Solve for x
    x = 2,611,939,901.74/75,616.68
  6. Step 6: Final answer
    x = 34,541.85

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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.