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Finding the Fourth Proportional to 50,051.84, 69,060.72 and 31,909.46

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Solution

The fourth proportional to 50,051.84, 69,060.72 and 31,909.46 is: 44,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,051.84 : 69,060.72 = 31,909.46 : x
  2. Step 2: Convert to fraction form
    50,051.84/69,060.72 = 31,909.46/x
  3. Step 3: Cross multiply
    50,051.84x = 69,060.72 × 31,909.46
  4. Step 4: Simplify right side
    50,051.84x = 2,203,690,282.41
  5. Step 5: Solve for x
    x = 2,203,690,282.41/50,051.84
  6. Step 6: Final answer
    x = 44,028.16

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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.