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Finding the Fourth Proportional to 38,754, 53,472.24 and 22,832.64

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Solution

The fourth proportional to 38,754, 53,472.24 and 22,832.64 is: 31,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754 : 53,472.24 = 22,832.64 : x
  2. Step 2: Convert to fraction form
    38,754/53,472.24 = 22,832.64/x
  3. Step 3: Cross multiply
    38,754x = 53,472.24 × 22,832.64
  4. Step 4: Simplify right side
    38,754x = 1,220,912,405.91
  5. Step 5: Solve for x
    x = 1,220,912,405.91/38,754
  6. Step 6: Final answer
    x = 31,504.16

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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.