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Finding the Fourth Proportional to 50,641.28, 69,845.12 and 47,246

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Solution

The fourth proportional to 50,641.28, 69,845.12 and 47,246 is: 65,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.28 : 69,845.12 = 47,246 : x
  2. Step 2: Convert to fraction form
    50,641.28/69,845.12 = 47,246/x
  3. Step 3: Cross multiply
    50,641.28x = 69,845.12 × 47,246
  4. Step 4: Simplify right side
    50,641.28x = 3,299,902,539.52
  5. Step 5: Solve for x
    x = 3,299,902,539.52/50,641.28
  6. Step 6: Final answer
    x = 65,162.31

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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.