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Finding the Fourth Proportional to 57,083.84, 85,626 and 37,378.88

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Solution

The fourth proportional to 57,083.84, 85,626 and 37,378.88 is: 56,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.84 : 85,626 = 37,378.88 : x
  2. Step 2: Convert to fraction form
    57,083.84/85,626 = 37,378.88/x
  3. Step 3: Cross multiply
    57,083.84x = 85,626 × 37,378.88
  4. Step 4: Simplify right side
    57,083.84x = 3,200,603,978.88
  5. Step 5: Solve for x
    x = 3,200,603,978.88/57,083.84
  6. Step 6: Final answer
    x = 56,068.48

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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.