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Finding the Fourth Proportional to 34,761.48, 47,971.62 and 20,609.16

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Solution

The fourth proportional to 34,761.48, 47,971.62 and 20,609.16 is: 28,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761.48 : 47,971.62 = 20,609.16 : x
  2. Step 2: Convert to fraction form
    34,761.48/47,971.62 = 20,609.16/x
  3. Step 3: Cross multiply
    34,761.48x = 47,971.62 × 20,609.16
  4. Step 4: Simplify right side
    34,761.48x = 988,654,792.04
  5. Step 5: Solve for x
    x = 988,654,792.04/34,761.48
  6. Step 6: Final answer
    x = 28,441.10

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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.