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Finding the Fourth Proportional to 78,508.09, 117,759.36 and 22,348.50

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Solution

The fourth proportional to 78,508.09, 117,759.36 and 22,348.50 is: 33,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.09 : 117,759.36 = 22,348.50 : x
  2. Step 2: Convert to fraction form
    78,508.09/117,759.36 = 22,348.50/x
  3. Step 3: Cross multiply
    78,508.09x = 117,759.36 × 22,348.50
  4. Step 4: Simplify right side
    78,508.09x = 2,631,745,056.96
  5. Step 5: Solve for x
    x = 2,631,745,056.96/78,508.09
  6. Step 6: Final answer
    x = 33,521.96

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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.