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Finding the Fourth Proportional to 32,495.91, 48,743.87 and 11,719.41

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Solution

The fourth proportional to 32,495.91, 48,743.87 and 11,719.41 is: 17,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.91 : 48,743.87 = 11,719.41 : x
  2. Step 2: Convert to fraction form
    32,495.91/48,743.87 = 11,719.41/x
  3. Step 3: Cross multiply
    32,495.91x = 48,743.87 × 11,719.41
  4. Step 4: Simplify right side
    32,495.91x = 571,249,156.13
  5. Step 5: Solve for x
    x = 571,249,156.13/32,495.91
  6. Step 6: Final answer
    x = 17,579.11

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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.