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Finding the Fourth Proportional to 30,397.84, 41,966.47 and 23,171.02

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Solution

The fourth proportional to 30,397.84, 41,966.47 and 23,171.02 is: 31,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.84 : 41,966.47 = 23,171.02 : x
  2. Step 2: Convert to fraction form
    30,397.84/41,966.47 = 23,171.02/x
  3. Step 3: Cross multiply
    30,397.84x = 41,966.47 × 23,171.02
  4. Step 4: Simplify right side
    30,397.84x = 972,405,915.70
  5. Step 5: Solve for x
    x = 972,405,915.70/30,397.84
  6. Step 6: Final answer
    x = 31,989.31

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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.