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Finding the Fourth Proportional to 75,478.92, 113,174.63 and 31,055.48

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Solution

The fourth proportional to 75,478.92, 113,174.63 and 31,055.48 is: 46,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.92 : 113,174.63 = 31,055.48 : x
  2. Step 2: Convert to fraction form
    75,478.92/113,174.63 = 31,055.48/x
  3. Step 3: Cross multiply
    75,478.92x = 113,174.63 × 31,055.48
  4. Step 4: Simplify right side
    75,478.92x = 3,514,692,458.47
  5. Step 5: Solve for x
    x = 3,514,692,458.47/75,478.92
  6. Step 6: Final answer
    x = 46,565.22

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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.