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Finding the Fourth Proportional to 50,966.80, 76,409.94 and 32,207.24

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Solution

The fourth proportional to 50,966.80, 76,409.94 and 32,207.24 is: 48,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,966.80 : 76,409.94 = 32,207.24 : x
  2. Step 2: Convert to fraction form
    50,966.80/76,409.94 = 32,207.24/x
  3. Step 3: Cross multiply
    50,966.80x = 76,409.94 × 32,207.24
  4. Step 4: Simplify right side
    50,966.80x = 2,460,953,275.97
  5. Step 5: Solve for x
    x = 2,460,953,275.97/50,966.80
  6. Step 6: Final answer
    x = 48,285.42

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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.