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Finding the Fourth Proportional to 76,787.16, 105,945.66 and 46,169.16

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Solution

The fourth proportional to 76,787.16, 105,945.66 and 46,169.16 is: 63,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787.16 : 105,945.66 = 46,169.16 : x
  2. Step 2: Convert to fraction form
    76,787.16/105,945.66 = 46,169.16/x
  3. Step 3: Cross multiply
    76,787.16x = 105,945.66 × 46,169.16
  4. Step 4: Simplify right side
    76,787.16x = 4,891,422,127.85
  5. Step 5: Solve for x
    x = 4,891,422,127.85/76,787.16
  6. Step 6: Final answer
    x = 63,701.04

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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.