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Finding the Fourth Proportional to 38,539.86, 53,180.73 and 21,772.86

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Solution

The fourth proportional to 38,539.86, 53,180.73 and 21,772.86 is: 30,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.86 : 53,180.73 = 21,772.86 : x
  2. Step 2: Convert to fraction form
    38,539.86/53,180.73 = 21,772.86/x
  3. Step 3: Cross multiply
    38,539.86x = 53,180.73 × 21,772.86
  4. Step 4: Simplify right side
    38,539.86x = 1,157,896,588.99
  5. Step 5: Solve for x
    x = 1,157,896,588.99/38,539.86
  6. Step 6: Final answer
    x = 30,044.13

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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.