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Finding the Fourth Proportional to 75,461.42, 113,019.56 and 36,046.22

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Solution

The fourth proportional to 75,461.42, 113,019.56 and 36,046.22 is: 53,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.42 : 113,019.56 = 36,046.22 : x
  2. Step 2: Convert to fraction form
    75,461.42/113,019.56 = 36,046.22/x
  3. Step 3: Cross multiply
    75,461.42x = 113,019.56 × 36,046.22
  4. Step 4: Simplify right side
    75,461.42x = 4,073,927,924.06
  5. Step 5: Solve for x
    x = 4,073,927,924.06/75,461.42
  6. Step 6: Final answer
    x = 53,986.90

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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.