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Finding the Fourth Proportional to 75,589.68, 113,345.64 and 34,014

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Solution

The fourth proportional to 75,589.68, 113,345.64 and 34,014 is: 51,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,589.68 : 113,345.64 = 34,014 : x
  2. Step 2: Convert to fraction form
    75,589.68/113,345.64 = 34,014/x
  3. Step 3: Cross multiply
    75,589.68x = 113,345.64 × 34,014
  4. Step 4: Simplify right side
    75,589.68x = 3,855,338,598.96
  5. Step 5: Solve for x
    x = 3,855,338,598.96/75,589.68
  6. Step 6: Final answer
    x = 51,003.50

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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.