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Finding the Fourth Proportional to 34,309.72, 47,348.58 and 20,162.32

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Solution

The fourth proportional to 34,309.72, 47,348.58 and 20,162.32 is: 27,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.72 : 47,348.58 = 20,162.32 : x
  2. Step 2: Convert to fraction form
    34,309.72/47,348.58 = 20,162.32/x
  3. Step 3: Cross multiply
    34,309.72x = 47,348.58 × 20,162.32
  4. Step 4: Simplify right side
    34,309.72x = 954,657,221.51
  5. Step 5: Solve for x
    x = 954,657,221.51/34,309.72
  6. Step 6: Final answer
    x = 27,824.69

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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.