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Finding the Fourth Proportional to 75,649.32, 113,492.22 and 23,055.66

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Solution

The fourth proportional to 75,649.32, 113,492.22 and 23,055.66 is: 34,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.32 : 113,492.22 = 23,055.66 : x
  2. Step 2: Convert to fraction form
    75,649.32/113,492.22 = 23,055.66/x
  3. Step 3: Cross multiply
    75,649.32x = 113,492.22 × 23,055.66
  4. Step 4: Simplify right side
    75,649.32x = 2,616,638,036.97
  5. Step 5: Solve for x
    x = 2,616,638,036.97/75,649.32
  6. Step 6: Final answer
    x = 34,589.05

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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.