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Finding the Fourth Proportional to 76,157.75, 105,083.11 and 49,296.53

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Solution

The fourth proportional to 76,157.75, 105,083.11 and 49,296.53 is: 68,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,157.75 : 105,083.11 = 49,296.53 : x
  2. Step 2: Convert to fraction form
    76,157.75/105,083.11 = 49,296.53/x
  3. Step 3: Cross multiply
    76,157.75x = 105,083.11 × 49,296.53
  4. Step 4: Simplify right side
    76,157.75x = 5,180,232,684.61
  5. Step 5: Solve for x
    x = 5,180,232,684.61/76,157.75
  6. Step 6: Final answer
    x = 68,019.77

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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.