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Finding the Fourth Proportional to 75,595.82, 113,360.96 and 22,993.16

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Solution

The fourth proportional to 75,595.82, 113,360.96 and 22,993.16 is: 34,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,595.82 : 113,360.96 = 22,993.16 : x
  2. Step 2: Convert to fraction form
    75,595.82/113,360.96 = 22,993.16/x
  3. Step 3: Cross multiply
    75,595.82x = 113,360.96 × 22,993.16
  4. Step 4: Simplify right side
    75,595.82x = 2,606,526,181.71
  5. Step 5: Solve for x
    x = 2,606,526,181.71/75,595.82
  6. Step 6: Final answer
    x = 34,479.77

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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.