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Finding the Fourth Proportional to 32,215.77, 48,342.49 and 13,494.22

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Solution

The fourth proportional to 32,215.77, 48,342.49 and 13,494.22 is: 20,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.77 : 48,342.49 = 13,494.22 : x
  2. Step 2: Convert to fraction form
    32,215.77/48,342.49 = 13,494.22/x
  3. Step 3: Cross multiply
    32,215.77x = 48,342.49 × 13,494.22
  4. Step 4: Simplify right side
    32,215.77x = 652,343,886.22
  5. Step 5: Solve for x
    x = 652,343,886.22/32,215.77
  6. Step 6: Final answer
    x = 20,249.21

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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.