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Finding the Fourth Proportional to 56,782.52, 85,086.16 and 35,962.28

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Solution

The fourth proportional to 56,782.52, 85,086.16 and 35,962.28 is: 53,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782.52 : 85,086.16 = 35,962.28 : x
  2. Step 2: Convert to fraction form
    56,782.52/85,086.16 = 35,962.28/x
  3. Step 3: Cross multiply
    56,782.52x = 85,086.16 × 35,962.28
  4. Step 4: Simplify right side
    56,782.52x = 3,059,892,310.04
  5. Step 5: Solve for x
    x = 3,059,892,310.04/56,782.52
  6. Step 6: Final answer
    x = 53,887.93

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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.