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Finding the Fourth Proportional to 75,436.32, 113,168.31 and 24,838.23

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Solution

The fourth proportional to 75,436.32, 113,168.31 and 24,838.23 is: 37,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,436.32 : 113,168.31 = 24,838.23 : x
  2. Step 2: Convert to fraction form
    75,436.32/113,168.31 = 24,838.23/x
  3. Step 3: Cross multiply
    75,436.32x = 113,168.31 × 24,838.23
  4. Step 4: Simplify right side
    75,436.32x = 2,810,900,512.49
  5. Step 5: Solve for x
    x = 2,810,900,512.49/75,436.32
  6. Step 6: Final answer
    x = 37,261.90

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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.