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Finding the Fourth Proportional to 34,301.34, 47,335.77 and 20,162.34

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Solution

The fourth proportional to 34,301.34, 47,335.77 and 20,162.34 is: 27,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,301.34 : 47,335.77 = 20,162.34 : x
  2. Step 2: Convert to fraction form
    34,301.34/47,335.77 = 20,162.34/x
  3. Step 3: Cross multiply
    34,301.34x = 47,335.77 × 20,162.34
  4. Step 4: Simplify right side
    34,301.34x = 954,399,888.90
  5. Step 5: Solve for x
    x = 954,399,888.90/34,301.34
  6. Step 6: Final answer
    x = 27,823.98

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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.