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Finding the Fourth Proportional to 77,108.36, 115,583.76 and 43,758

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Solution

The fourth proportional to 77,108.36, 115,583.76 and 43,758 is: 65,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,108.36 : 115,583.76 = 43,758 : x
  2. Step 2: Convert to fraction form
    77,108.36/115,583.76 = 43,758/x
  3. Step 3: Cross multiply
    77,108.36x = 115,583.76 × 43,758
  4. Step 4: Simplify right side
    77,108.36x = 5,057,714,170.08
  5. Step 5: Solve for x
    x = 5,057,714,170.08/77,108.36
  6. Step 6: Final answer
    x = 65,592.29

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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.