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Finding the Fourth Proportional to 32,095.32, 48,122.46 and 13,388.26

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Solution

The fourth proportional to 32,095.32, 48,122.46 and 13,388.26 is: 20,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.32 : 48,122.46 = 13,388.26 : x
  2. Step 2: Convert to fraction form
    32,095.32/48,122.46 = 13,388.26/x
  3. Step 3: Cross multiply
    32,095.32x = 48,122.46 × 13,388.26
  4. Step 4: Simplify right side
    32,095.32x = 644,276,006.32
  5. Step 5: Solve for x
    x = 644,276,006.32/32,095.32
  6. Step 6: Final answer
    x = 20,073.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.