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Finding the Fourth Proportional to 80,214.13, 110,724.70 and 46,680.13

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Solution

The fourth proportional to 80,214.13, 110,724.70 and 46,680.13 is: 64,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214.13 : 110,724.70 = 46,680.13 : x
  2. Step 2: Convert to fraction form
    80,214.13/110,724.70 = 46,680.13/x
  3. Step 3: Cross multiply
    80,214.13x = 110,724.70 × 46,680.13
  4. Step 4: Simplify right side
    80,214.13x = 5,168,643,390.21
  5. Step 5: Solve for x
    x = 5,168,643,390.21/80,214.13
  6. Step 6: Final answer
    x = 64,435.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.