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Finding the Fourth Proportional to 39,457, 54,448.44 and 22,465.39

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Solution

The fourth proportional to 39,457, 54,448.44 and 22,465.39 is: 31,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457 : 54,448.44 = 22,465.39 : x
  2. Step 2: Convert to fraction form
    39,457/54,448.44 = 22,465.39/x
  3. Step 3: Cross multiply
    39,457x = 54,448.44 × 22,465.39
  4. Step 4: Simplify right side
    39,457x = 1,223,205,439.49
  5. Step 5: Solve for x
    x = 1,223,205,439.49/39,457
  6. Step 6: Final answer
    x = 31,000.97

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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.