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Finding the Fourth Proportional to 51,709.28, 77,569.59 and 41,179.28

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Solution

The fourth proportional to 51,709.28, 77,569.59 and 41,179.28 is: 61,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,709.28 : 77,569.59 = 41,179.28 : x
  2. Step 2: Convert to fraction form
    51,709.28/77,569.59 = 41,179.28/x
  3. Step 3: Cross multiply
    51,709.28x = 77,569.59 × 41,179.28
  4. Step 4: Simplify right side
    51,709.28x = 3,194,259,866.10
  5. Step 5: Solve for x
    x = 3,194,259,866.10/51,709.28
  6. Step 6: Final answer
    x = 61,773.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.