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Finding the Fourth Proportional to 38,567, 57,828.36 and 15,180.68

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Solution

The fourth proportional to 38,567, 57,828.36 and 15,180.68 is: 22,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567 : 57,828.36 = 15,180.68 : x
  2. Step 2: Convert to fraction form
    38,567/57,828.36 = 15,180.68/x
  3. Step 3: Cross multiply
    38,567x = 57,828.36 × 15,180.68
  4. Step 4: Simplify right side
    38,567x = 877,873,828.08
  5. Step 5: Solve for x
    x = 877,873,828.08/38,567
  6. Step 6: Final answer
    x = 22,762.31

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