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Finding the Fourth Proportional to 38,649.67, 53,347.04 and 22,739.24

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Solution

The fourth proportional to 38,649.67, 53,347.04 and 22,739.24 is: 31,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.67 : 53,347.04 = 22,739.24 : x
  2. Step 2: Convert to fraction form
    38,649.67/53,347.04 = 22,739.24/x
  3. Step 3: Cross multiply
    38,649.67x = 53,347.04 × 22,739.24
  4. Step 4: Simplify right side
    38,649.67x = 1,213,071,250.79
  5. Step 5: Solve for x
    x = 1,213,071,250.79/38,649.67
  6. Step 6: Final answer
    x = 31,386.33

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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.