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Finding the Fourth Proportional to 50,569.12, 69,771 and 30,415.92

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Solution

The fourth proportional to 50,569.12, 69,771 and 30,415.92 is: 41,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,569.12 : 69,771 = 30,415.92 : x
  2. Step 2: Convert to fraction form
    50,569.12/69,771 = 30,415.92/x
  3. Step 3: Cross multiply
    50,569.12x = 69,771 × 30,415.92
  4. Step 4: Simplify right side
    50,569.12x = 2,122,149,154.32
  5. Step 5: Solve for x
    x = 2,122,149,154.32/50,569.12
  6. Step 6: Final answer
    x = 41,965.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.