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Finding the Fourth Proportional to 85,035.91, 117,310.30 and 54,830.94

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Solution

The fourth proportional to 85,035.91, 117,310.30 and 54,830.94 is: 75,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,035.91 : 117,310.30 = 54,830.94 : x
  2. Step 2: Convert to fraction form
    85,035.91/117,310.30 = 54,830.94/x
  3. Step 3: Cross multiply
    85,035.91x = 117,310.30 × 54,830.94
  4. Step 4: Simplify right side
    85,035.91x = 6,432,233,762.87
  5. Step 5: Solve for x
    x = 6,432,233,762.87/85,035.91
  6. Step 6: Final answer
    x = 75,641.38

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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.