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Finding the Fourth Proportional to 73,174.12, 109,739.40 and 31,053.60

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Solution

The fourth proportional to 73,174.12, 109,739.40 and 31,053.60 is: 46,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174.12 : 109,739.40 = 31,053.60 : x
  2. Step 2: Convert to fraction form
    73,174.12/109,739.40 = 31,053.60/x
  3. Step 3: Cross multiply
    73,174.12x = 109,739.40 × 31,053.60
  4. Step 4: Simplify right side
    73,174.12x = 3,407,803,431.84
  5. Step 5: Solve for x
    x = 3,407,803,431.84/73,174.12
  6. Step 6: Final answer
    x = 46,571.16

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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.