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Finding the Fourth Proportional to 56,712.92, 78,268.34 and 32,840.01

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Solution

The fourth proportional to 56,712.92, 78,268.34 and 32,840.01 is: 45,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,712.92 : 78,268.34 = 32,840.01 : x
  2. Step 2: Convert to fraction form
    56,712.92/78,268.34 = 32,840.01/x
  3. Step 3: Cross multiply
    56,712.92x = 78,268.34 × 32,840.01
  4. Step 4: Simplify right side
    56,712.92x = 2,570,333,150.38
  5. Step 5: Solve for x
    x = 2,570,333,150.38/56,712.92
  6. Step 6: Final answer
    x = 45,321.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.