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Finding the Fourth Proportional to 50,612.30, 69,854.73 and 29,116.50

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Solution

The fourth proportional to 50,612.30, 69,854.73 and 29,116.50 is: 40,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,612.30 : 69,854.73 = 29,116.50 : x
  2. Step 2: Convert to fraction form
    50,612.30/69,854.73 = 29,116.50/x
  3. Step 3: Cross multiply
    50,612.30x = 69,854.73 × 29,116.50
  4. Step 4: Simplify right side
    50,612.30x = 2,033,925,246.05
  5. Step 5: Solve for x
    x = 2,033,925,246.05/50,612.30
  6. Step 6: Final answer
    x = 40,186.38

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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.