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Finding the Fourth Proportional to 75,477.92, 113,173.13 and 31,054.48

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Solution

The fourth proportional to 75,477.92, 113,173.13 and 31,054.48 is: 46,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,477.92 : 113,173.13 = 31,054.48 : x
  2. Step 2: Convert to fraction form
    75,477.92/113,173.13 = 31,054.48/x
  3. Step 3: Cross multiply
    75,477.92x = 113,173.13 × 31,054.48
  4. Step 4: Simplify right side
    75,477.92x = 3,514,532,496.83
  5. Step 5: Solve for x
    x = 3,514,532,496.83/75,477.92
  6. Step 6: Final answer
    x = 46,563.72

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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.