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Finding the Fourth Proportional to 38,491.74, 53,089.83 and 25,914.06

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Solution

The fourth proportional to 38,491.74, 53,089.83 and 25,914.06 is: 35,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.74 : 53,089.83 = 25,914.06 : x
  2. Step 2: Convert to fraction form
    38,491.74/53,089.83 = 25,914.06/x
  3. Step 3: Cross multiply
    38,491.74x = 53,089.83 × 25,914.06
  4. Step 4: Simplify right side
    38,491.74x = 1,375,773,040.01
  5. Step 5: Solve for x
    x = 1,375,773,040.01/38,491.74
  6. Step 6: Final answer
    x = 35,742.03

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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.