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Finding the Fourth Proportional to 75,388.93, 113,085.52 and 30,984.93

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Solution

The fourth proportional to 75,388.93, 113,085.52 and 30,984.93 is: 46,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,388.93 : 113,085.52 = 30,984.93 : x
  2. Step 2: Convert to fraction form
    75,388.93/113,085.52 = 30,984.93/x
  3. Step 3: Cross multiply
    75,388.93x = 113,085.52 × 30,984.93
  4. Step 4: Simplify right side
    75,388.93x = 3,503,946,843.75
  5. Step 5: Solve for x
    x = 3,503,946,843.75/75,388.93
  6. Step 6: Final answer
    x = 46,478.27

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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.