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Finding the Fourth Proportional to 57,782.06, 86,602.20 and 32,843

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Solution

The fourth proportional to 57,782.06, 86,602.20 and 32,843 is: 49,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.06 : 86,602.20 = 32,843 : x
  2. Step 2: Convert to fraction form
    57,782.06/86,602.20 = 32,843/x
  3. Step 3: Cross multiply
    57,782.06x = 86,602.20 × 32,843
  4. Step 4: Simplify right side
    57,782.06x = 2,844,276,054.60
  5. Step 5: Solve for x
    x = 2,844,276,054.60/57,782.06
  6. Step 6: Final answer
    x = 49,224.21

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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.