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Finding the Fourth Proportional to 32,427, 44,749.32 and 17,523

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Solution

The fourth proportional to 32,427, 44,749.32 and 17,523 is: 24,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427 : 44,749.32 = 17,523 : x
  2. Step 2: Convert to fraction form
    32,427/44,749.32 = 17,523/x
  3. Step 3: Cross multiply
    32,427x = 44,749.32 × 17,523
  4. Step 4: Simplify right side
    32,427x = 784,142,334.36
  5. Step 5: Solve for x
    x = 784,142,334.36/32,427
  6. Step 6: Final answer
    x = 24,181.77

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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.