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Finding the Fourth Proportional to 38,591.16, 53,257.26 and 22,457.17

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Solution

The fourth proportional to 38,591.16, 53,257.26 and 22,457.17 is: 30,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.16 : 53,257.26 = 22,457.17 : x
  2. Step 2: Convert to fraction form
    38,591.16/53,257.26 = 22,457.17/x
  3. Step 3: Cross multiply
    38,591.16x = 53,257.26 × 22,457.17
  4. Step 4: Simplify right side
    38,591.16x = 1,196,007,341.55
  5. Step 5: Solve for x
    x = 1,196,007,341.55/38,591.16
  6. Step 6: Final answer
    x = 30,991.75

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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.