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Finding the Fourth Proportional to 61,137.64, 84,369.62 and 34,280.12

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Solution

The fourth proportional to 61,137.64, 84,369.62 and 34,280.12 is: 47,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,137.64 : 84,369.62 = 34,280.12 : x
  2. Step 2: Convert to fraction form
    61,137.64/84,369.62 = 34,280.12/x
  3. Step 3: Cross multiply
    61,137.64x = 84,369.62 × 34,280.12
  4. Step 4: Simplify right side
    61,137.64x = 2,892,200,697.95
  5. Step 5: Solve for x
    x = 2,892,200,697.95/61,137.64
  6. Step 6: Final answer
    x = 47,306.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.