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Finding the Fourth Proportional to 32,011, 48,016.52 and 10,123

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Solution

The fourth proportional to 32,011, 48,016.52 and 10,123 is: 15,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011 : 48,016.52 = 10,123 : x
  2. Step 2: Convert to fraction form
    32,011/48,016.52 = 10,123/x
  3. Step 3: Cross multiply
    32,011x = 48,016.52 × 10,123
  4. Step 4: Simplify right side
    32,011x = 486,071,231.96
  5. Step 5: Solve for x
    x = 486,071,231.96/32,011
  6. Step 6: Final answer
    x = 15,184.51

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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.