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Finding the Fourth Proportional to 75,296.54, 112,722.89 and 65,954.81

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Solution

The fourth proportional to 75,296.54, 112,722.89 and 65,954.81 is: 98,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.54 : 112,722.89 = 65,954.81 : x
  2. Step 2: Convert to fraction form
    75,296.54/112,722.89 = 65,954.81/x
  3. Step 3: Cross multiply
    75,296.54x = 112,722.89 × 65,954.81
  4. Step 4: Simplify right side
    75,296.54x = 7,434,615,899.21
  5. Step 5: Solve for x
    x = 7,434,615,899.21/75,296.54
  6. Step 6: Final answer
    x = 98,737.82

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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.