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Finding the Fourth Proportional to 100,641.84, 138,889.26 and 57,629.04

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Solution

The fourth proportional to 100,641.84, 138,889.26 and 57,629.04 is: 79,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,641.84 : 138,889.26 = 57,629.04 : x
  2. Step 2: Convert to fraction form
    100,641.84/138,889.26 = 57,629.04/x
  3. Step 3: Cross multiply
    100,641.84x = 138,889.26 × 57,629.04
  4. Step 4: Simplify right side
    100,641.84x = 8,004,054,720.11
  5. Step 5: Solve for x
    x = 8,004,054,720.11/100,641.84
  6. Step 6: Final answer
    x = 79,530.09

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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.