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Finding the Fourth Proportional to 78,578, 117,709.32 and 39,015.44

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Solution

The fourth proportional to 78,578, 117,709.32 and 39,015.44 is: 58,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578 : 117,709.32 = 39,015.44 : x
  2. Step 2: Convert to fraction form
    78,578/117,709.32 = 39,015.44/x
  3. Step 3: Cross multiply
    78,578x = 117,709.32 × 39,015.44
  4. Step 4: Simplify right side
    78,578x = 4,592,480,911.90
  5. Step 5: Solve for x
    x = 4,592,480,911.90/78,578
  6. Step 6: Final answer
    x = 58,444.87

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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.