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Finding the Fourth Proportional to 73,580, 101,540.40 and 40,046.24

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Solution

The fourth proportional to 73,580, 101,540.40 and 40,046.24 is: 55,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,580 : 101,540.40 = 40,046.24 : x
  2. Step 2: Convert to fraction form
    73,580/101,540.40 = 40,046.24/x
  3. Step 3: Cross multiply
    73,580x = 101,540.40 × 40,046.24
  4. Step 4: Simplify right side
    73,580x = 4,066,311,228.10
  5. Step 5: Solve for x
    x = 4,066,311,228.10/73,580
  6. Step 6: Final answer
    x = 55,263.81

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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.