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Finding the Fourth Proportional to 32,342.32, 48,530.09 and 13,381.03

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Solution

The fourth proportional to 32,342.32, 48,530.09 and 13,381.03 is: 20,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,342.32 : 48,530.09 = 13,381.03 : x
  2. Step 2: Convert to fraction form
    32,342.32/48,530.09 = 13,381.03/x
  3. Step 3: Cross multiply
    32,342.32x = 48,530.09 × 13,381.03
  4. Step 4: Simplify right side
    32,342.32x = 649,382,590.19
  5. Step 5: Solve for x
    x = 649,382,590.19/32,342.32
  6. Step 6: Final answer
    x = 20,078.42

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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.