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Finding the Fourth Proportional to 50,846.94, 70,091 and 35,697.10

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Solution

The fourth proportional to 50,846.94, 70,091 and 35,697.10 is: 49,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846.94 : 70,091 = 35,697.10 : x
  2. Step 2: Convert to fraction form
    50,846.94/70,091 = 35,697.10/x
  3. Step 3: Cross multiply
    50,846.94x = 70,091 × 35,697.10
  4. Step 4: Simplify right side
    50,846.94x = 2,502,045,436.10
  5. Step 5: Solve for x
    x = 2,502,045,436.10/50,846.94
  6. Step 6: Final answer
    x = 49,207.39

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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.