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Finding the Fourth Proportional to 38,384.69, 52,958.21 and 22,457.66

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Solution

The fourth proportional to 38,384.69, 52,958.21 and 22,457.66 is: 30,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384.69 : 52,958.21 = 22,457.66 : x
  2. Step 2: Convert to fraction form
    38,384.69/52,958.21 = 22,457.66/x
  3. Step 3: Cross multiply
    38,384.69x = 52,958.21 × 22,457.66
  4. Step 4: Simplify right side
    38,384.69x = 1,189,317,097.31
  5. Step 5: Solve for x
    x = 1,189,317,097.31/38,384.69
  6. Step 6: Final answer
    x = 30,984.16

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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.