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Finding the Fourth Proportional to 64,974.84, 97,465.14 and 18,226.68

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Solution

The fourth proportional to 64,974.84, 97,465.14 and 18,226.68 is: 27,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,974.84 : 97,465.14 = 18,226.68 : x
  2. Step 2: Convert to fraction form
    64,974.84/97,465.14 = 18,226.68/x
  3. Step 3: Cross multiply
    64,974.84x = 97,465.14 × 18,226.68
  4. Step 4: Simplify right side
    64,974.84x = 1,776,465,917.94
  5. Step 5: Solve for x
    x = 1,776,465,917.94/64,974.84
  6. Step 6: Final answer
    x = 27,340.83

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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.