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Finding the Fourth Proportional to 105,523.31, 145,621.85 and 57,776.24

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Solution

The fourth proportional to 105,523.31, 145,621.85 and 57,776.24 is: 79,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,523.31 : 145,621.85 = 57,776.24 : x
  2. Step 2: Convert to fraction form
    105,523.31/145,621.85 = 57,776.24/x
  3. Step 3: Cross multiply
    105,523.31x = 145,621.85 × 57,776.24
  4. Step 4: Simplify right side
    105,523.31x = 8,413,481,937.85
  5. Step 5: Solve for x
    x = 8,413,481,937.85/105,523.31
  6. Step 6: Final answer
    x = 79,731.03

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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.