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Finding the Fourth Proportional to 38,974.31, 53,784.56 and 21,069.32

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Solution

The fourth proportional to 38,974.31, 53,784.56 and 21,069.32 is: 29,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.31 : 53,784.56 = 21,069.32 : x
  2. Step 2: Convert to fraction form
    38,974.31/53,784.56 = 21,069.32/x
  3. Step 3: Cross multiply
    38,974.31x = 53,784.56 × 21,069.32
  4. Step 4: Simplify right side
    38,974.31x = 1,133,203,770.93
  5. Step 5: Solve for x
    x = 1,133,203,770.93/38,974.31
  6. Step 6: Final answer
    x = 29,075.66

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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.