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Finding the Fourth Proportional to 73,345.80, 109,824.30 and 57,793.80

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Solution

The fourth proportional to 73,345.80, 109,824.30 and 57,793.80 is: 86,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,345.80 : 109,824.30 = 57,793.80 : x
  2. Step 2: Convert to fraction form
    73,345.80/109,824.30 = 57,793.80/x
  3. Step 3: Cross multiply
    73,345.80x = 109,824.30 × 57,793.80
  4. Step 4: Simplify right side
    73,345.80x = 6,347,163,629.34
  5. Step 5: Solve for x
    x = 6,347,163,629.34/73,345.80
  6. Step 6: Final answer
    x = 86,537.52

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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.