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Finding the Fourth Proportional to 77,058.56, 115,586.16 and 35,505.56

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Solution

The fourth proportional to 77,058.56, 115,586.16 and 35,505.56 is: 53,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.56 : 115,586.16 = 35,505.56 : x
  2. Step 2: Convert to fraction form
    77,058.56/115,586.16 = 35,505.56/x
  3. Step 3: Cross multiply
    77,058.56x = 115,586.16 × 35,505.56
  4. Step 4: Simplify right side
    77,058.56x = 4,103,951,339.05
  5. Step 5: Solve for x
    x = 4,103,951,339.05/77,058.56
  6. Step 6: Final answer
    x = 53,257.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.