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Finding the Fourth Proportional to 75,651.59, 113,494.40 and 23,066.39

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Solution

The fourth proportional to 75,651.59, 113,494.40 and 23,066.39 is: 34,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.59 : 113,494.40 = 23,066.39 : x
  2. Step 2: Convert to fraction form
    75,651.59/113,494.40 = 23,066.39/x
  3. Step 3: Cross multiply
    75,651.59x = 113,494.40 × 23,066.39
  4. Step 4: Simplify right side
    75,651.59x = 2,617,905,410.41
  5. Step 5: Solve for x
    x = 2,617,905,410.41/75,651.59
  6. Step 6: Final answer
    x = 34,604.77

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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.