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Finding the Fourth Proportional to 78,423.30, 117,568.80 and 34,016.61

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Solution

The fourth proportional to 78,423.30, 117,568.80 and 34,016.61 is: 50,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423.30 : 117,568.80 = 34,016.61 : x
  2. Step 2: Convert to fraction form
    78,423.30/117,568.80 = 34,016.61/x
  3. Step 3: Cross multiply
    78,423.30x = 117,568.80 × 34,016.61
  4. Step 4: Simplify right side
    78,423.30x = 3,999,292,017.77
  5. Step 5: Solve for x
    x = 3,999,292,017.77/78,423.30
  6. Step 6: Final answer
    x = 50,996.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.