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Finding the Fourth Proportional to 50,421.96, 69,583.82 and 27,763.32

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Solution

The fourth proportional to 50,421.96, 69,583.82 and 27,763.32 is: 38,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,421.96 : 69,583.82 = 27,763.32 : x
  2. Step 2: Convert to fraction form
    50,421.96/69,583.82 = 27,763.32/x
  3. Step 3: Cross multiply
    50,421.96x = 69,583.82 × 27,763.32
  4. Step 4: Simplify right side
    50,421.96x = 1,931,877,861.48
  5. Step 5: Solve for x
    x = 1,931,877,861.48/50,421.96
  6. Step 6: Final answer
    x = 38,314.22

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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.