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Finding the Fourth Proportional to 52,832.96, 72,905.32 and 30,472.64

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Solution

The fourth proportional to 52,832.96, 72,905.32 and 30,472.64 is: 42,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,832.96 : 72,905.32 = 30,472.64 : x
  2. Step 2: Convert to fraction form
    52,832.96/72,905.32 = 30,472.64/x
  3. Step 3: Cross multiply
    52,832.96x = 72,905.32 × 30,472.64
  4. Step 4: Simplify right side
    52,832.96x = 2,221,617,570.44
  5. Step 5: Solve for x
    x = 2,221,617,570.44/52,832.96
  6. Step 6: Final answer
    x = 42,049.84

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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.