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Finding the Fourth Proportional to 38,770.99, 53,503.89 and 22,649.38

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Solution

The fourth proportional to 38,770.99, 53,503.89 and 22,649.38 is: 31,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,770.99 : 53,503.89 = 22,649.38 : x
  2. Step 2: Convert to fraction form
    38,770.99/53,503.89 = 22,649.38/x
  3. Step 3: Cross multiply
    38,770.99x = 53,503.89 × 22,649.38
  4. Step 4: Simplify right side
    38,770.99x = 1,211,830,221.00
  5. Step 5: Solve for x
    x = 1,211,830,221.00/38,770.99
  6. Step 6: Final answer
    x = 31,256.11

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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.