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Finding the Fourth Proportional to 32,074.71, 48,098.31 and 11,016.87

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Solution

The fourth proportional to 32,074.71, 48,098.31 and 11,016.87 is: 16,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.71 : 48,098.31 = 11,016.87 : x
  2. Step 2: Convert to fraction form
    32,074.71/48,098.31 = 11,016.87/x
  3. Step 3: Cross multiply
    32,074.71x = 48,098.31 × 11,016.87
  4. Step 4: Simplify right side
    32,074.71x = 529,892,828.49
  5. Step 5: Solve for x
    x = 529,892,828.49/32,074.71
  6. Step 6: Final answer
    x = 16,520.58

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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.