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Finding the Fourth Proportional to 54,702.84, 82,225.56 and 36,102.42

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Solution

The fourth proportional to 54,702.84, 82,225.56 and 36,102.42 is: 54,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.84 : 82,225.56 = 36,102.42 : x
  2. Step 2: Convert to fraction form
    54,702.84/82,225.56 = 36,102.42/x
  3. Step 3: Cross multiply
    54,702.84x = 82,225.56 × 36,102.42
  4. Step 4: Simplify right side
    54,702.84x = 2,968,541,701.86
  5. Step 5: Solve for x
    x = 2,968,541,701.86/54,702.84
  6. Step 6: Final answer
    x = 54,266.68

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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.