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Finding the Fourth Proportional to 105,496.32, 158,244.51 and 31,624.32

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Solution

The fourth proportional to 105,496.32, 158,244.51 and 31,624.32 is: 47,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.32 : 158,244.51 = 31,624.32 : x
  2. Step 2: Convert to fraction form
    105,496.32/158,244.51 = 31,624.32/x
  3. Step 3: Cross multiply
    105,496.32x = 158,244.51 × 31,624.32
  4. Step 4: Simplify right side
    105,496.32x = 5,004,375,022.48
  5. Step 5: Solve for x
    x = 5,004,375,022.48/105,496.32
  6. Step 6: Final answer
    x = 47,436.49

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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.