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Finding the Fourth Proportional to 75,958.47, 113,962.32 and 36,518.67

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Solution

The fourth proportional to 75,958.47, 113,962.32 and 36,518.67 is: 54,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.47 : 113,962.32 = 36,518.67 : x
  2. Step 2: Convert to fraction form
    75,958.47/113,962.32 = 36,518.67/x
  3. Step 3: Cross multiply
    75,958.47x = 113,962.32 × 36,518.67
  4. Step 4: Simplify right side
    75,958.47x = 4,161,752,356.51
  5. Step 5: Solve for x
    x = 4,161,752,356.51/75,958.47
  6. Step 6: Final answer
    x = 54,789.84

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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.