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Finding the Fourth Proportional to 75,628.94, 113,443.41 and 20,223.50

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Solution

The fourth proportional to 75,628.94, 113,443.41 and 20,223.50 is: 30,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,628.94 : 113,443.41 = 20,223.50 : x
  2. Step 2: Convert to fraction form
    75,628.94/113,443.41 = 20,223.50/x
  3. Step 3: Cross multiply
    75,628.94x = 113,443.41 × 20,223.50
  4. Step 4: Simplify right side
    75,628.94x = 2,294,222,802.14
  5. Step 5: Solve for x
    x = 2,294,222,802.14/75,628.94
  6. Step 6: Final answer
    x = 30,335.25

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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.