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Finding the Fourth Proportional to 50,887.65, 70,219.12 and 29,377.31

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Solution

The fourth proportional to 50,887.65, 70,219.12 and 29,377.31 is: 40,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.65 : 70,219.12 = 29,377.31 : x
  2. Step 2: Convert to fraction form
    50,887.65/70,219.12 = 29,377.31/x
  3. Step 3: Cross multiply
    50,887.65x = 70,219.12 × 29,377.31
  4. Step 4: Simplify right side
    50,887.65x = 2,062,848,856.17
  5. Step 5: Solve for x
    x = 2,062,848,856.17/50,887.65
  6. Step 6: Final answer
    x = 40,537.32

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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.