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Finding the Fourth Proportional to 91,142.16, 125,766.64 and 50,305.54

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Solution

The fourth proportional to 91,142.16, 125,766.64 and 50,305.54 is: 69,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,142.16 : 125,766.64 = 50,305.54 : x
  2. Step 2: Convert to fraction form
    91,142.16/125,766.64 = 50,305.54/x
  3. Step 3: Cross multiply
    91,142.16x = 125,766.64 × 50,305.54
  4. Step 4: Simplify right side
    91,142.16x = 6,326,758,739.19
  5. Step 5: Solve for x
    x = 6,326,758,739.19/91,142.16
  6. Step 6: Final answer
    x = 69,416.38

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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.