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Finding the Fourth Proportional to 38,736, 53,447.45 and 22,814.64

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Solution

The fourth proportional to 38,736, 53,447.45 and 22,814.64 is: 31,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736 : 53,447.45 = 22,814.64 : x
  2. Step 2: Convert to fraction form
    38,736/53,447.45 = 22,814.64/x
  3. Step 3: Cross multiply
    38,736x = 53,447.45 × 22,814.64
  4. Step 4: Simplify right side
    38,736x = 1,219,384,216.59
  5. Step 5: Solve for x
    x = 1,219,384,216.59/38,736
  6. Step 6: Final answer
    x = 31,479.35

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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.