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Finding the Fourth Proportional to 32,201.40, 48,284.82 and 10,005.24

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Solution

The fourth proportional to 32,201.40, 48,284.82 and 10,005.24 is: 15,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.40 : 48,284.82 = 10,005.24 : x
  2. Step 2: Convert to fraction form
    32,201.40/48,284.82 = 10,005.24/x
  3. Step 3: Cross multiply
    32,201.40x = 48,284.82 × 10,005.24
  4. Step 4: Simplify right side
    32,201.40x = 483,101,212.46
  5. Step 5: Solve for x
    x = 483,101,212.46/32,201.40
  6. Step 6: Final answer
    x = 15,002.49

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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.