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Finding the Fourth Proportional to 77,725.76, 107,261.36 and 43,734.32

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Solution

The fourth proportional to 77,725.76, 107,261.36 and 43,734.32 is: 60,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,725.76 : 107,261.36 = 43,734.32 : x
  2. Step 2: Convert to fraction form
    77,725.76/107,261.36 = 43,734.32/x
  3. Step 3: Cross multiply
    77,725.76x = 107,261.36 × 43,734.32
  4. Step 4: Simplify right side
    77,725.76x = 4,691,001,886.90
  5. Step 5: Solve for x
    x = 4,691,001,886.90/77,725.76
  6. Step 6: Final answer
    x = 60,353.25

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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.