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Finding the Fourth Proportional to 85,772.10, 128,614.26 and 35,838.56

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Solution

The fourth proportional to 85,772.10, 128,614.26 and 35,838.56 is: 53,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.10 : 128,614.26 = 35,838.56 : x
  2. Step 2: Convert to fraction form
    85,772.10/128,614.26 = 35,838.56/x
  3. Step 3: Cross multiply
    85,772.10x = 128,614.26 × 35,838.56
  4. Step 4: Simplify right side
    85,772.10x = 4,609,349,873.87
  5. Step 5: Solve for x
    x = 4,609,349,873.87/85,772.10
  6. Step 6: Final answer
    x = 53,739.50

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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.