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Finding the Fourth Proportional to 45,441.46, 68,056.38 and 43,865

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Solution

The fourth proportional to 45,441.46, 68,056.38 and 43,865 is: 65,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441.46 : 68,056.38 = 43,865 : x
  2. Step 2: Convert to fraction form
    45,441.46/68,056.38 = 43,865/x
  3. Step 3: Cross multiply
    45,441.46x = 68,056.38 × 43,865
  4. Step 4: Simplify right side
    45,441.46x = 2,985,293,108.70
  5. Step 5: Solve for x
    x = 2,985,293,108.70/45,441.46
  6. Step 6: Final answer
    x = 65,695.36

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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.