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Finding the Fourth Proportional to 36,814.31, 50,802.31 and 22,498.07

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Solution

The fourth proportional to 36,814.31, 50,802.31 and 22,498.07 is: 31,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814.31 : 50,802.31 = 22,498.07 : x
  2. Step 2: Convert to fraction form
    36,814.31/50,802.31 = 22,498.07/x
  3. Step 3: Cross multiply
    36,814.31x = 50,802.31 × 22,498.07
  4. Step 4: Simplify right side
    36,814.31x = 1,142,953,997.30
  5. Step 5: Solve for x
    x = 1,142,953,997.30/36,814.31
  6. Step 6: Final answer
    x = 31,046.46

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1.5x scale

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.