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Finding the Fourth Proportional to 73,803.36, 110,726.64 and 31,661.28

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Solution

The fourth proportional to 73,803.36, 110,726.64 and 31,661.28 is: 47,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,803.36 : 110,726.64 = 31,661.28 : x
  2. Step 2: Convert to fraction form
    73,803.36/110,726.64 = 31,661.28/x
  3. Step 3: Cross multiply
    73,803.36x = 110,726.64 × 31,661.28
  4. Step 4: Simplify right side
    73,803.36x = 3,505,747,152.50
  5. Step 5: Solve for x
    x = 3,505,747,152.50/73,803.36
  6. Step 6: Final answer
    x = 47,501.19

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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.