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Finding the Fourth Proportional to 75,813.93, 113,742.76 and 23,231.16

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Solution

The fourth proportional to 75,813.93, 113,742.76 and 23,231.16 is: 34,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813.93 : 113,742.76 = 23,231.16 : x
  2. Step 2: Convert to fraction form
    75,813.93/113,742.76 = 23,231.16/x
  3. Step 3: Cross multiply
    75,813.93x = 113,742.76 × 23,231.16
  4. Step 4: Simplify right side
    75,813.93x = 2,642,376,256.40
  5. Step 5: Solve for x
    x = 2,642,376,256.40/75,813.93
  6. Step 6: Final answer
    x = 34,853.44

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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.