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Finding the Fourth Proportional to 49,894.89, 68,854.95 and 34,007.10

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Solution

The fourth proportional to 49,894.89, 68,854.95 and 34,007.10 is: 46,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.89 : 68,854.95 = 34,007.10 : x
  2. Step 2: Convert to fraction form
    49,894.89/68,854.95 = 34,007.10/x
  3. Step 3: Cross multiply
    49,894.89x = 68,854.95 × 34,007.10
  4. Step 4: Simplify right side
    49,894.89x = 2,341,557,170.15
  5. Step 5: Solve for x
    x = 2,341,557,170.15/49,894.89
  6. Step 6: Final answer
    x = 46,929.80

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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.