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Finding the Fourth Proportional to 38,315.82, 52,875 and 22,183.81

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Solution

The fourth proportional to 38,315.82, 52,875 and 22,183.81 is: 30,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.82 : 52,875 = 22,183.81 : x
  2. Step 2: Convert to fraction form
    38,315.82/52,875 = 22,183.81/x
  3. Step 3: Cross multiply
    38,315.82x = 52,875 × 22,183.81
  4. Step 4: Simplify right side
    38,315.82x = 1,172,968,953.75
  5. Step 5: Solve for x
    x = 1,172,968,953.75/38,315.82
  6. Step 6: Final answer
    x = 30,613.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.