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Finding the Fourth Proportional to 32,129, 44,365.38 and 20,212.28

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Solution

The fourth proportional to 32,129, 44,365.38 and 20,212.28 is: 27,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129 : 44,365.38 = 20,212.28 : x
  2. Step 2: Convert to fraction form
    32,129/44,365.38 = 20,212.28/x
  3. Step 3: Cross multiply
    32,129x = 44,365.38 × 20,212.28
  4. Step 4: Simplify right side
    32,129x = 896,725,482.87
  5. Step 5: Solve for x
    x = 896,725,482.87/32,129
  6. Step 6: Final answer
    x = 27,910.16

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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.