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Finding the Fourth Proportional to 54,946, 82,411.62 and 15,506.28

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Solution

The fourth proportional to 54,946, 82,411.62 and 15,506.28 is: 23,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946 : 82,411.62 = 15,506.28 : x
  2. Step 2: Convert to fraction form
    54,946/82,411.62 = 15,506.28/x
  3. Step 3: Cross multiply
    54,946x = 82,411.62 × 15,506.28
  4. Step 4: Simplify right side
    54,946x = 1,277,897,654.97
  5. Step 5: Solve for x
    x = 1,277,897,654.97/54,946
  6. Step 6: Final answer
    x = 23,257.34

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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.