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Finding the Fourth Proportional to 38,722.84, 53,453.83 and 26,164.60

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Solution

The fourth proportional to 38,722.84, 53,453.83 and 26,164.60 is: 36,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,722.84 : 53,453.83 = 26,164.60 : x
  2. Step 2: Convert to fraction form
    38,722.84/53,453.83 = 26,164.60/x
  3. Step 3: Cross multiply
    38,722.84x = 53,453.83 × 26,164.60
  4. Step 4: Simplify right side
    38,722.84x = 1,398,598,080.42
  5. Step 5: Solve for x
    x = 1,398,598,080.42/38,722.84
  6. Step 6: Final answer
    x = 36,118.17

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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.