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Finding the Fourth Proportional to 26,178.49, 38,971.65 and 26,022.80

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Solution

The fourth proportional to 26,178.49, 38,971.65 and 26,022.80 is: 38,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178.49 : 38,971.65 = 26,022.80 : x
  2. Step 2: Convert to fraction form
    26,178.49/38,971.65 = 26,022.80/x
  3. Step 3: Cross multiply
    26,178.49x = 38,971.65 × 26,022.80
  4. Step 4: Simplify right side
    26,178.49x = 1,014,151,356.19
  5. Step 5: Solve for x
    x = 1,014,151,356.19/26,178.49
  6. Step 6: Final answer
    x = 38,739.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.