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Finding the Fourth Proportional to 73,261.92, 101,103.84 and 47,784.96

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Solution

The fourth proportional to 73,261.92, 101,103.84 and 47,784.96 is: 65,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,261.92 : 101,103.84 = 47,784.96 : x
  2. Step 2: Convert to fraction form
    73,261.92/101,103.84 = 47,784.96/x
  3. Step 3: Cross multiply
    73,261.92x = 101,103.84 × 47,784.96
  4. Step 4: Simplify right side
    73,261.92x = 4,831,242,950.25
  5. Step 5: Solve for x
    x = 4,831,242,950.25/73,261.92
  6. Step 6: Final answer
    x = 65,944.80

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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.