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Finding the Fourth Proportional to 38,380.64, 57,534.02 and 19,669.52

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Solution

The fourth proportional to 38,380.64, 57,534.02 and 19,669.52 is: 29,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.64 : 57,534.02 = 19,669.52 : x
  2. Step 2: Convert to fraction form
    38,380.64/57,534.02 = 19,669.52/x
  3. Step 3: Cross multiply
    38,380.64x = 57,534.02 × 19,669.52
  4. Step 4: Simplify right side
    38,380.64x = 1,131,666,557.07
  5. Step 5: Solve for x
    x = 1,131,666,557.07/38,380.64
  6. Step 6: Final answer
    x = 29,485.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.