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Finding the Fourth Proportional to 75,370.58, 113,058.28 and 37,910.20

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Solution

The fourth proportional to 75,370.58, 113,058.28 and 37,910.20 is: 56,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370.58 : 113,058.28 = 37,910.20 : x
  2. Step 2: Convert to fraction form
    75,370.58/113,058.28 = 37,910.20/x
  3. Step 3: Cross multiply
    75,370.58x = 113,058.28 × 37,910.20
  4. Step 4: Simplify right side
    75,370.58x = 4,286,061,346.39
  5. Step 5: Solve for x
    x = 4,286,061,346.39/75,370.58
  6. Step 6: Final answer
    x = 56,866.50

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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.