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Finding the Fourth Proportional to 91,958, 126,902.16 and 52,214

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Solution

The fourth proportional to 91,958, 126,902.16 and 52,214 is: 72,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,958 : 126,902.16 = 52,214 : x
  2. Step 2: Convert to fraction form
    91,958/126,902.16 = 52,214/x
  3. Step 3: Cross multiply
    91,958x = 126,902.16 × 52,214
  4. Step 4: Simplify right side
    91,958x = 6,626,069,382.24
  5. Step 5: Solve for x
    x = 6,626,069,382.24/91,958
  6. Step 6: Final answer
    x = 72,055.39

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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.