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Finding the Fourth Proportional to 75,550.76, 113,194.90 and 53,013.74

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Solution

The fourth proportional to 75,550.76, 113,194.90 and 53,013.74 is: 79,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,550.76 : 113,194.90 = 53,013.74 : x
  2. Step 2: Convert to fraction form
    75,550.76/113,194.90 = 53,013.74/x
  3. Step 3: Cross multiply
    75,550.76x = 113,194.90 × 53,013.74
  4. Step 4: Simplify right side
    75,550.76x = 6,000,884,997.93
  5. Step 5: Solve for x
    x = 6,000,884,997.93/75,550.76
  6. Step 6: Final answer
    x = 79,428.52

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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.