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Finding the Fourth Proportional to 68,549.69, 102,786.33 and 21,151.32

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Solution

The fourth proportional to 68,549.69, 102,786.33 and 21,151.32 is: 31,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,549.69 : 102,786.33 = 21,151.32 : x
  2. Step 2: Convert to fraction form
    68,549.69/102,786.33 = 21,151.32/x
  3. Step 3: Cross multiply
    68,549.69x = 102,786.33 × 21,151.32
  4. Step 4: Simplify right side
    68,549.69x = 2,174,066,557.46
  5. Step 5: Solve for x
    x = 2,174,066,557.46/68,549.69
  6. Step 6: Final answer
    x = 31,715.19

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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.