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Finding the Fourth Proportional to 75,301.14, 112,932.75 and 30,940.14

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Solution

The fourth proportional to 75,301.14, 112,932.75 and 30,940.14 is: 46,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,301.14 : 112,932.75 = 30,940.14 : x
  2. Step 2: Convert to fraction form
    75,301.14/112,932.75 = 30,940.14/x
  3. Step 3: Cross multiply
    75,301.14x = 112,932.75 × 30,940.14
  4. Step 4: Simplify right side
    75,301.14x = 3,494,155,095.59
  5. Step 5: Solve for x
    x = 3,494,155,095.59/75,301.14
  6. Step 6: Final answer
    x = 46,402.42

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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.