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Finding the Fourth Proportional to 39,412.15, 54,390.40 and 22,419.39

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Solution

The fourth proportional to 39,412.15, 54,390.40 and 22,419.39 is: 30,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.15 : 54,390.40 = 22,419.39 : x
  2. Step 2: Convert to fraction form
    39,412.15/54,390.40 = 22,419.39/x
  3. Step 3: Cross multiply
    39,412.15x = 54,390.40 × 22,419.39
  4. Step 4: Simplify right side
    39,412.15x = 1,219,399,386.87
  5. Step 5: Solve for x
    x = 1,219,399,386.87/39,412.15
  6. Step 6: Final answer
    x = 30,939.68

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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.