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Finding the Fourth Proportional to 50,390.66, 69,503.38 and 42,784.54

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Solution

The fourth proportional to 50,390.66, 69,503.38 and 42,784.54 is: 59,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,390.66 : 69,503.38 = 42,784.54 : x
  2. Step 2: Convert to fraction form
    50,390.66/69,503.38 = 42,784.54/x
  3. Step 3: Cross multiply
    50,390.66x = 69,503.38 × 42,784.54
  4. Step 4: Simplify right side
    50,390.66x = 2,973,669,861.03
  5. Step 5: Solve for x
    x = 2,973,669,861.03/50,390.66
  6. Step 6: Final answer
    x = 59,012.32

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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.