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Finding the Fourth Proportional to 68,596.86, 102,825.13 and 46,412.58

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Solution

The fourth proportional to 68,596.86, 102,825.13 and 46,412.58 is: 69,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,596.86 : 102,825.13 = 46,412.58 : x
  2. Step 2: Convert to fraction form
    68,596.86/102,825.13 = 46,412.58/x
  3. Step 3: Cross multiply
    68,596.86x = 102,825.13 × 46,412.58
  4. Step 4: Simplify right side
    68,596.86x = 4,772,379,572.14
  5. Step 5: Solve for x
    x = 4,772,379,572.14/68,596.86
  6. Step 6: Final answer
    x = 69,571.40

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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.