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Finding the Fourth Proportional to 75,881.26, 113,728.65 and 53,700.94

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Solution

The fourth proportional to 75,881.26, 113,728.65 and 53,700.94 is: 80,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.26 : 113,728.65 = 53,700.94 : x
  2. Step 2: Convert to fraction form
    75,881.26/113,728.65 = 53,700.94/x
  3. Step 3: Cross multiply
    75,881.26x = 113,728.65 × 53,700.94
  4. Step 4: Simplify right side
    75,881.26x = 6,107,335,409.93
  5. Step 5: Solve for x
    x = 6,107,335,409.93/75,881.26
  6. Step 6: Final answer
    x = 80,485.42

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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.