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Finding the Fourth Proportional to 31,728.29, 43,765.17 and 20,412.51

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Solution

The fourth proportional to 31,728.29, 43,765.17 and 20,412.51 is: 28,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.29 : 43,765.17 = 20,412.51 : x
  2. Step 2: Convert to fraction form
    31,728.29/43,765.17 = 20,412.51/x
  3. Step 3: Cross multiply
    31,728.29x = 43,765.17 × 20,412.51
  4. Step 4: Simplify right side
    31,728.29x = 893,356,970.28
  5. Step 5: Solve for x
    x = 893,356,970.28/31,728.29
  6. Step 6: Final answer
    x = 28,156.48

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