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Finding the Fourth Proportional to 75,496.30, 113,244.46 and 31,100.20

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Solution

The fourth proportional to 75,496.30, 113,244.46 and 31,100.20 is: 46,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496.30 : 113,244.46 = 31,100.20 : x
  2. Step 2: Convert to fraction form
    75,496.30/113,244.46 = 31,100.20/x
  3. Step 3: Cross multiply
    75,496.30x = 113,244.46 × 31,100.20
  4. Step 4: Simplify right side
    75,496.30x = 3,521,925,354.89
  5. Step 5: Solve for x
    x = 3,521,925,354.89/75,496.30
  6. Step 6: Final answer
    x = 46,650.30

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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.