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Finding the Fourth Proportional to 32,240, 44,496.06 and 19,672.04

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Solution

The fourth proportional to 32,240, 44,496.06 and 19,672.04 is: 27,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240 : 44,496.06 = 19,672.04 : x
  2. Step 2: Convert to fraction form
    32,240/44,496.06 = 19,672.04/x
  3. Step 3: Cross multiply
    32,240x = 44,496.06 × 19,672.04
  4. Step 4: Simplify right side
    32,240x = 875,328,272.16
  5. Step 5: Solve for x
    x = 875,328,272.16/32,240
  6. Step 6: Final answer
    x = 27,150.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.