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Finding the Fourth Proportional to 73,829.80, 110,777.10 and 34,366.60

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Solution

The fourth proportional to 73,829.80, 110,777.10 and 34,366.60 is: 51,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829.80 : 110,777.10 = 34,366.60 : x
  2. Step 2: Convert to fraction form
    73,829.80/110,777.10 = 34,366.60/x
  3. Step 3: Cross multiply
    73,829.80x = 110,777.10 × 34,366.60
  4. Step 4: Simplify right side
    73,829.80x = 3,807,032,284.86
  5. Step 5: Solve for x
    x = 3,807,032,284.86/73,829.80
  6. Step 6: Final answer
    x = 51,564.98

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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.