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Finding the Fourth Proportional to 77,200.80, 115,806.60 and 32,822.52

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Solution

The fourth proportional to 77,200.80, 115,806.60 and 32,822.52 is: 49,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,200.80 : 115,806.60 = 32,822.52 : x
  2. Step 2: Convert to fraction form
    77,200.80/115,806.60 = 32,822.52/x
  3. Step 3: Cross multiply
    77,200.80x = 115,806.60 × 32,822.52
  4. Step 4: Simplify right side
    77,200.80x = 3,801,064,444.63
  5. Step 5: Solve for x
    x = 3,801,064,444.63/77,200.80
  6. Step 6: Final answer
    x = 49,236.08

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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.