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Finding the Fourth Proportional to 78,331.85, 117,486.50 and 25,029.90

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Solution

The fourth proportional to 78,331.85, 117,486.50 and 25,029.90 is: 37,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,331.85 : 117,486.50 = 25,029.90 : x
  2. Step 2: Convert to fraction form
    78,331.85/117,486.50 = 25,029.90/x
  3. Step 3: Cross multiply
    78,331.85x = 117,486.50 × 25,029.90
  4. Step 4: Simplify right side
    78,331.85x = 2,940,675,346.35
  5. Step 5: Solve for x
    x = 2,940,675,346.35/78,331.85
  6. Step 6: Final answer
    x = 37,541.25

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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.