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Finding the Fourth Proportional to 38,471.04, 53,091.64 and 21,704

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Solution

The fourth proportional to 38,471.04, 53,091.64 and 21,704 is: 29,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.04 : 53,091.64 = 21,704 : x
  2. Step 2: Convert to fraction form
    38,471.04/53,091.64 = 21,704/x
  3. Step 3: Cross multiply
    38,471.04x = 53,091.64 × 21,704
  4. Step 4: Simplify right side
    38,471.04x = 1,152,300,954.56
  5. Step 5: Solve for x
    x = 1,152,300,954.56/38,471.04
  6. Step 6: Final answer
    x = 29,952.43

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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.