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Finding the Fourth Proportional to 57,042.84, 85,506.81 and 23,781.31

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Solution

The fourth proportional to 57,042.84, 85,506.81 and 23,781.31 is: 35,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042.84 : 85,506.81 = 23,781.31 : x
  2. Step 2: Convert to fraction form
    57,042.84/85,506.81 = 23,781.31/x
  3. Step 3: Cross multiply
    57,042.84x = 85,506.81 × 23,781.31
  4. Step 4: Simplify right side
    57,042.84x = 2,033,463,955.72
  5. Step 5: Solve for x
    x = 2,033,463,955.72/57,042.84
  6. Step 6: Final answer
    x = 35,648.01

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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.