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Finding the Fourth Proportional to 85,411.95, 117,859.53 and 49,594.95

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Solution

The fourth proportional to 85,411.95, 117,859.53 and 49,594.95 is: 68,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.95 : 117,859.53 = 49,594.95 : x
  2. Step 2: Convert to fraction form
    85,411.95/117,859.53 = 49,594.95/x
  3. Step 3: Cross multiply
    85,411.95x = 117,859.53 × 49,594.95
  4. Step 4: Simplify right side
    85,411.95x = 5,845,237,497.37
  5. Step 5: Solve for x
    x = 5,845,237,497.37/85,411.95
  6. Step 6: Final answer
    x = 68,435.83

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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.