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Finding the Fourth Proportional to 39,419.36, 54,384.72 and 22,642.64

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Solution

The fourth proportional to 39,419.36, 54,384.72 and 22,642.64 is: 31,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419.36 : 54,384.72 = 22,642.64 : x
  2. Step 2: Convert to fraction form
    39,419.36/54,384.72 = 22,642.64/x
  3. Step 3: Cross multiply
    39,419.36x = 54,384.72 × 22,642.64
  4. Step 4: Simplify right side
    39,419.36x = 1,231,413,636.46
  5. Step 5: Solve for x
    x = 1,231,413,636.46/39,419.36
  6. Step 6: Final answer
    x = 31,238.80

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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.