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Finding the Fourth Proportional to 38,422.50, 57,583.53 and 19,686.66

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Solution

The fourth proportional to 38,422.50, 57,583.53 and 19,686.66 is: 29,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.50 : 57,583.53 = 19,686.66 : x
  2. Step 2: Convert to fraction form
    38,422.50/57,583.53 = 19,686.66/x
  3. Step 3: Cross multiply
    38,422.50x = 57,583.53 × 19,686.66
  4. Step 4: Simplify right side
    38,422.50x = 1,133,627,376.71
  5. Step 5: Solve for x
    x = 1,133,627,376.71/38,422.50
  6. Step 6: Final answer
    x = 29,504.26

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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.