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Finding the Fourth Proportional to 32,495.78, 48,743.67 and 11,719.28

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Solution

The fourth proportional to 32,495.78, 48,743.67 and 11,719.28 is: 17,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.78 : 48,743.67 = 11,719.28 : x
  2. Step 2: Convert to fraction form
    32,495.78/48,743.67 = 11,719.28/x
  3. Step 3: Cross multiply
    32,495.78x = 48,743.67 × 11,719.28
  4. Step 4: Simplify right side
    32,495.78x = 571,240,716.96
  5. Step 5: Solve for x
    x = 571,240,716.96/32,495.78
  6. Step 6: Final answer
    x = 17,578.92

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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.