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Finding the Fourth Proportional to 76,232.08, 114,418.44 and 38,819.12

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Solution

The fourth proportional to 76,232.08, 114,418.44 and 38,819.12 is: 58,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.08 : 114,418.44 = 38,819.12 : x
  2. Step 2: Convert to fraction form
    76,232.08/114,418.44 = 38,819.12/x
  3. Step 3: Cross multiply
    76,232.08x = 114,418.44 × 38,819.12
  4. Step 4: Simplify right side
    76,232.08x = 4,441,623,152.57
  5. Step 5: Solve for x
    x = 4,441,623,152.57/76,232.08
  6. Step 6: Final answer
    x = 58,264.49

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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.