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Finding the Fourth Proportional to 50,991.64, 70,392.04 and 30,583.42

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Solution

The fourth proportional to 50,991.64, 70,392.04 and 30,583.42 is: 42,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991.64 : 70,392.04 = 30,583.42 : x
  2. Step 2: Convert to fraction form
    50,991.64/70,392.04 = 30,583.42/x
  3. Step 3: Cross multiply
    50,991.64x = 70,392.04 × 30,583.42
  4. Step 4: Simplify right side
    50,991.64x = 2,152,829,323.98
  5. Step 5: Solve for x
    x = 2,152,829,323.98/50,991.64
  6. Step 6: Final answer
    x = 42,219.26

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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.