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Finding the Fourth Proportional to 38,649.30, 53,341.67 and 21,654.69

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Solution

The fourth proportional to 38,649.30, 53,341.67 and 21,654.69 is: 29,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.30 : 53,341.67 = 21,654.69 : x
  2. Step 2: Convert to fraction form
    38,649.30/53,341.67 = 21,654.69/x
  3. Step 3: Cross multiply
    38,649.30x = 53,341.67 × 21,654.69
  4. Step 4: Simplify right side
    38,649.30x = 1,155,097,327.93
  5. Step 5: Solve for x
    x = 1,155,097,327.93/38,649.30
  6. Step 6: Final answer
    x = 29,886.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.