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Finding the Fourth Proportional to 75,367.76, 104,007.92 and 47,089.84

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Solution

The fourth proportional to 75,367.76, 104,007.92 and 47,089.84 is: 64,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367.76 : 104,007.92 = 47,089.84 : x
  2. Step 2: Convert to fraction form
    75,367.76/104,007.92 = 47,089.84/x
  3. Step 3: Cross multiply
    75,367.76x = 104,007.92 × 47,089.84
  4. Step 4: Simplify right side
    75,367.76x = 4,897,716,311.53
  5. Step 5: Solve for x
    x = 4,897,716,311.53/75,367.76
  6. Step 6: Final answer
    x = 64,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.