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Finding the Fourth Proportional to 32,523.76, 48,747.96 and 14,956.72

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Solution

The fourth proportional to 32,523.76, 48,747.96 and 14,956.72 is: 22,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.76 : 48,747.96 = 14,956.72 : x
  2. Step 2: Convert to fraction form
    32,523.76/48,747.96 = 14,956.72/x
  3. Step 3: Cross multiply
    32,523.76x = 48,747.96 × 14,956.72
  4. Step 4: Simplify right side
    32,523.76x = 729,109,588.29
  5. Step 5: Solve for x
    x = 729,109,588.29/32,523.76
  6. Step 6: Final answer
    x = 22,417.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.