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Finding the Fourth Proportional to 38,353.92, 52,905.60 and 23,424

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Solution

The fourth proportional to 38,353.92, 52,905.60 and 23,424 is: 32,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353.92 : 52,905.60 = 23,424 : x
  2. Step 2: Convert to fraction form
    38,353.92/52,905.60 = 23,424/x
  3. Step 3: Cross multiply
    38,353.92x = 52,905.60 × 23,424
  4. Step 4: Simplify right side
    38,353.92x = 1,239,260,774.40
  5. Step 5: Solve for x
    x = 1,239,260,774.40/38,353.92
  6. Step 6: Final answer
    x = 32,311.19

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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.