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Finding the Fourth Proportional to 32,495.72, 48,743.58 and 11,719.22

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Solution

The fourth proportional to 32,495.72, 48,743.58 and 11,719.22 is: 17,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.72 : 48,743.58 = 11,719.22 : x
  2. Step 2: Convert to fraction form
    32,495.72/48,743.58 = 11,719.22/x
  3. Step 3: Cross multiply
    32,495.72x = 48,743.58 × 11,719.22
  4. Step 4: Simplify right side
    32,495.72x = 571,236,737.61
  5. Step 5: Solve for x
    x = 571,236,737.61/32,495.72
  6. Step 6: Final answer
    x = 17,578.83

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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.