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Finding the Fourth Proportional to 66,441.06, 99,644.58 and 19,683

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Solution

The fourth proportional to 66,441.06, 99,644.58 and 19,683 is: 29,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,441.06 : 99,644.58 = 19,683 : x
  2. Step 2: Convert to fraction form
    66,441.06/99,644.58 = 19,683/x
  3. Step 3: Cross multiply
    66,441.06x = 99,644.58 × 19,683
  4. Step 4: Simplify right side
    66,441.06x = 1,961,304,268.14
  5. Step 5: Solve for x
    x = 1,961,304,268.14/66,441.06
  6. Step 6: Final answer
    x = 29,519.46

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Why These Related Problems?

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