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Finding the Fourth Proportional to 77,361.86, 116,023.89 and 24,760.46

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Solution

The fourth proportional to 77,361.86, 116,023.89 and 24,760.46 is: 37,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,361.86 : 116,023.89 = 24,760.46 : x
  2. Step 2: Convert to fraction form
    77,361.86/116,023.89 = 24,760.46/x
  3. Step 3: Cross multiply
    77,361.86x = 116,023.89 × 24,760.46
  4. Step 4: Simplify right side
    77,361.86x = 2,872,804,887.39
  5. Step 5: Solve for x
    x = 2,872,804,887.39/77,361.86
  6. Step 6: Final answer
    x = 37,134.64

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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.