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Finding the Fourth Proportional to 67,647.81, 101,477.68 and 17,727.71

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Solution

The fourth proportional to 67,647.81, 101,477.68 and 17,727.71 is: 26,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,647.81 : 101,477.68 = 17,727.71 : x
  2. Step 2: Convert to fraction form
    67,647.81/101,477.68 = 17,727.71/x
  3. Step 3: Cross multiply
    67,647.81x = 101,477.68 × 17,727.71
  4. Step 4: Simplify right side
    67,647.81x = 1,798,966,673.14
  5. Step 5: Solve for x
    x = 1,798,966,673.14/67,647.81
  6. Step 6: Final answer
    x = 26,593.13

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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.