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Finding the Fourth Proportional to 38,495.80, 53,124.24 and 22,366.24

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Solution

The fourth proportional to 38,495.80, 53,124.24 and 22,366.24 is: 30,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.80 : 53,124.24 = 22,366.24 : x
  2. Step 2: Convert to fraction form
    38,495.80/53,124.24 = 22,366.24/x
  3. Step 3: Cross multiply
    38,495.80x = 53,124.24 × 22,366.24
  4. Step 4: Simplify right side
    38,495.80x = 1,188,189,501.66
  5. Step 5: Solve for x
    x = 1,188,189,501.66/38,495.80
  6. Step 6: Final answer
    x = 30,865.43

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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.