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Finding the Fourth Proportional to 75,478.43, 113,173.91 and 31,055.00

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Solution

The fourth proportional to 75,478.43, 113,173.91 and 31,055.00 is: 46,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.43 : 113,173.91 = 31,055.00 : x
  2. Step 2: Convert to fraction form
    75,478.43/113,173.91 = 31,055.00/x
  3. Step 3: Cross multiply
    75,478.43x = 113,173.91 × 31,055.00
  4. Step 4: Simplify right side
    75,478.43x = 3,514,615,170.36
  5. Step 5: Solve for x
    x = 3,514,615,170.36/75,478.43
  6. Step 6: Final answer
    x = 46,564.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.