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Finding the Fourth Proportional to 73,296.96, 109,962.48 and 31,179.36

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Solution

The fourth proportional to 73,296.96, 109,962.48 and 31,179.36 is: 46,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,296.96 : 109,962.48 = 31,179.36 : x
  2. Step 2: Convert to fraction form
    73,296.96/109,962.48 = 31,179.36/x
  3. Step 3: Cross multiply
    73,296.96x = 109,962.48 × 31,179.36
  4. Step 4: Simplify right side
    73,296.96x = 3,428,559,750.41
  5. Step 5: Solve for x
    x = 3,428,559,750.41/73,296.96
  6. Step 6: Final answer
    x = 46,776.29

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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.