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Finding the Fourth Proportional to 75,951.94, 113,927.43 and 30,973.12

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Solution

The fourth proportional to 75,951.94, 113,927.43 and 30,973.12 is: 46,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.94 : 113,927.43 = 30,973.12 : x
  2. Step 2: Convert to fraction form
    75,951.94/113,927.43 = 30,973.12/x
  3. Step 3: Cross multiply
    75,951.94x = 113,927.43 × 30,973.12
  4. Step 4: Simplify right side
    75,951.94x = 3,528,687,960.68
  5. Step 5: Solve for x
    x = 3,528,687,960.68/75,951.94
  6. Step 6: Final answer
    x = 46,459.48

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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.