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Finding the Fourth Proportional to 38,532, 57,816.72 and 17,744.16

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Solution

The fourth proportional to 38,532, 57,816.72 and 17,744.16 is: 26,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532 : 57,816.72 = 17,744.16 : x
  2. Step 2: Convert to fraction form
    38,532/57,816.72 = 17,744.16/x
  3. Step 3: Cross multiply
    38,532x = 57,816.72 × 17,744.16
  4. Step 4: Simplify right side
    38,532x = 1,025,909,130.36
  5. Step 5: Solve for x
    x = 1,025,909,130.36/38,532
  6. Step 6: Final answer
    x = 26,624.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.