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Finding the Fourth Proportional to 75,761.70, 113,655.30 and 23,158.89

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Solution

The fourth proportional to 75,761.70, 113,655.30 and 23,158.89 is: 34,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761.70 : 113,655.30 = 23,158.89 : x
  2. Step 2: Convert to fraction form
    75,761.70/113,655.30 = 23,158.89/x
  3. Step 3: Cross multiply
    75,761.70x = 113,655.30 × 23,158.89
  4. Step 4: Simplify right side
    75,761.70x = 2,632,130,590.62
  5. Step 5: Solve for x
    x = 2,632,130,590.62/75,761.70
  6. Step 6: Final answer
    x = 34,742.23

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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.