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Finding the Fourth Proportional to 77,105.16, 106,401.06 and 43,569

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Solution

The fourth proportional to 77,105.16, 106,401.06 and 43,569 is: 60,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.16 : 106,401.06 = 43,569 : x
  2. Step 2: Convert to fraction form
    77,105.16/106,401.06 = 43,569/x
  3. Step 3: Cross multiply
    77,105.16x = 106,401.06 × 43,569
  4. Step 4: Simplify right side
    77,105.16x = 4,635,787,783.14
  5. Step 5: Solve for x
    x = 4,635,787,783.14/77,105.16
  6. Step 6: Final answer
    x = 60,122.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.