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Finding the Fourth Proportional to 105,498.32, 158,247.51 and 31,626.32

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Solution

The fourth proportional to 105,498.32, 158,247.51 and 31,626.32 is: 47,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498.32 : 158,247.51 = 31,626.32 : x
  2. Step 2: Convert to fraction form
    105,498.32/158,247.51 = 31,626.32/x
  3. Step 3: Cross multiply
    105,498.32x = 158,247.51 × 31,626.32
  4. Step 4: Simplify right side
    105,498.32x = 5,004,786,390.46
  5. Step 5: Solve for x
    x = 5,004,786,390.46/105,498.32
  6. Step 6: Final answer
    x = 47,439.49

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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.