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Finding the Fourth Proportional to 38,970.76, 53,777.63 and 21,974.53

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Solution

The fourth proportional to 38,970.76, 53,777.63 and 21,974.53 is: 30,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.76 : 53,777.63 = 21,974.53 : x
  2. Step 2: Convert to fraction form
    38,970.76/53,777.63 = 21,974.53/x
  3. Step 3: Cross multiply
    38,970.76x = 53,777.63 × 21,974.53
  4. Step 4: Simplify right side
    38,970.76x = 1,181,737,765.00
  5. Step 5: Solve for x
    x = 1,181,737,765.00/38,970.76
  6. Step 6: Final answer
    x = 30,323.71

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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.