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Finding the Fourth Proportional to 38,471.49, 53,084.66 and 21,474.86

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Solution

The fourth proportional to 38,471.49, 53,084.66 and 21,474.86 is: 29,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.49 : 53,084.66 = 21,474.86 : x
  2. Step 2: Convert to fraction form
    38,471.49/53,084.66 = 21,474.86/x
  3. Step 3: Cross multiply
    38,471.49x = 53,084.66 × 21,474.86
  4. Step 4: Simplify right side
    38,471.49x = 1,139,985,268.85
  5. Step 5: Solve for x
    x = 1,139,985,268.85/38,471.49
  6. Step 6: Final answer
    x = 29,631.95

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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.