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Finding the Fourth Proportional to 32,029.18, 48,007.29 and 20,026.87

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Solution

The fourth proportional to 32,029.18, 48,007.29 and 20,026.87 is: 30,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.18 : 48,007.29 = 20,026.87 : x
  2. Step 2: Convert to fraction form
    32,029.18/48,007.29 = 20,026.87/x
  3. Step 3: Cross multiply
    32,029.18x = 48,007.29 × 20,026.87
  4. Step 4: Simplify right side
    32,029.18x = 961,435,755.88
  5. Step 5: Solve for x
    x = 961,435,755.88/32,029.18
  6. Step 6: Final answer
    x = 30,017.50

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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.