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Finding the Fourth Proportional to 76,949.52, 105,969.24 and 66,107.40

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Solution

The fourth proportional to 76,949.52, 105,969.24 and 66,107.40 is: 91,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,949.52 : 105,969.24 = 66,107.40 : x
  2. Step 2: Convert to fraction form
    76,949.52/105,969.24 = 66,107.40/x
  3. Step 3: Cross multiply
    76,949.52x = 105,969.24 × 66,107.40
  4. Step 4: Simplify right side
    76,949.52x = 7,005,350,936.38
  5. Step 5: Solve for x
    x = 7,005,350,936.38/76,949.52
  6. Step 6: Final answer
    x = 91,038.27

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Why These Related Problems?

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