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Finding the Fourth Proportional to 77,135.28, 115,810 and 39,722.10

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Solution

The fourth proportional to 77,135.28, 115,810 and 39,722.10 is: 59,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.28 : 115,810 = 39,722.10 : x
  2. Step 2: Convert to fraction form
    77,135.28/115,810 = 39,722.10/x
  3. Step 3: Cross multiply
    77,135.28x = 115,810 × 39,722.10
  4. Step 4: Simplify right side
    77,135.28x = 4,600,216,401
  5. Step 5: Solve for x
    x = 4,600,216,401/77,135.28
  6. Step 6: Final answer
    x = 59,638.29

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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.