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Finding the Fourth Proportional to 83,264.73, 114,898.38 and 46,964.18

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Solution

The fourth proportional to 83,264.73, 114,898.38 and 46,964.18 is: 64,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.73 : 114,898.38 = 46,964.18 : x
  2. Step 2: Convert to fraction form
    83,264.73/114,898.38 = 46,964.18/x
  3. Step 3: Cross multiply
    83,264.73x = 114,898.38 × 46,964.18
  4. Step 4: Simplify right side
    83,264.73x = 5,396,107,390.72
  5. Step 5: Solve for x
    x = 5,396,107,390.72/83,264.73
  6. Step 6: Final answer
    x = 64,806.64

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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.