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Finding the Fourth Proportional to 75,602.30, 113,398.89 and 33,470.06

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Solution

The fourth proportional to 75,602.30, 113,398.89 and 33,470.06 is: 50,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602.30 : 113,398.89 = 33,470.06 : x
  2. Step 2: Convert to fraction form
    75,602.30/113,398.89 = 33,470.06/x
  3. Step 3: Cross multiply
    75,602.30x = 113,398.89 × 33,470.06
  4. Step 4: Simplify right side
    75,602.30x = 3,795,467,652.23
  5. Step 5: Solve for x
    x = 3,795,467,652.23/75,602.30
  6. Step 6: Final answer
    x = 50,203.07

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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.