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Finding the Fourth Proportional to 38,288.64, 52,822.08 and 23,376

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Solution

The fourth proportional to 38,288.64, 52,822.08 and 23,376 is: 32,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.64 : 52,822.08 = 23,376 : x
  2. Step 2: Convert to fraction form
    38,288.64/52,822.08 = 23,376/x
  3. Step 3: Cross multiply
    38,288.64x = 52,822.08 × 23,376
  4. Step 4: Simplify right side
    38,288.64x = 1,234,768,942.08
  5. Step 5: Solve for x
    x = 1,234,768,942.08/38,288.64
  6. Step 6: Final answer
    x = 32,248.96

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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.