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Finding the Fourth Proportional to 109,748.66, 164,623.59 and 30,863.57

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Solution

The fourth proportional to 109,748.66, 164,623.59 and 30,863.57 is: 46,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,748.66 : 164,623.59 = 30,863.57 : x
  2. Step 2: Convert to fraction form
    109,748.66/164,623.59 = 30,863.57/x
  3. Step 3: Cross multiply
    109,748.66x = 164,623.59 × 30,863.57
  4. Step 4: Simplify right side
    109,748.66x = 5,080,870,870.50
  5. Step 5: Solve for x
    x = 5,080,870,870.50/109,748.66
  6. Step 6: Final answer
    x = 46,295.52

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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.