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Finding the Fourth Proportional to 34,071.98, 47,009.89 and 20,456.48

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Solution

The fourth proportional to 34,071.98, 47,009.89 and 20,456.48 is: 28,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.98 : 47,009.89 = 20,456.48 : x
  2. Step 2: Convert to fraction form
    34,071.98/47,009.89 = 20,456.48/x
  3. Step 3: Cross multiply
    34,071.98x = 47,009.89 × 20,456.48
  4. Step 4: Simplify right side
    34,071.98x = 961,656,902.61
  5. Step 5: Solve for x
    x = 961,656,902.61/34,071.98
  6. Step 6: Final answer
    x = 28,224.28

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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.