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Finding the Fourth Proportional to 75,549, 113,325.90 and 22,958.94

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Solution

The fourth proportional to 75,549, 113,325.90 and 22,958.94 is: 34,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,549 : 113,325.90 = 22,958.94 : x
  2. Step 2: Convert to fraction form
    75,549/113,325.90 = 22,958.94/x
  3. Step 3: Cross multiply
    75,549x = 113,325.90 × 22,958.94
  4. Step 4: Simplify right side
    75,549x = 2,601,842,538.55
  5. Step 5: Solve for x
    x = 2,601,842,538.55/75,549
  6. Step 6: Final answer
    x = 34,439.14

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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.