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Finding the Fourth Proportional to 50,770.53, 69,998.38 and 34,827.30

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Solution

The fourth proportional to 50,770.53, 69,998.38 and 34,827.30 is: 48,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,770.53 : 69,998.38 = 34,827.30 : x
  2. Step 2: Convert to fraction form
    50,770.53/69,998.38 = 34,827.30/x
  3. Step 3: Cross multiply
    50,770.53x = 69,998.38 × 34,827.30
  4. Step 4: Simplify right side
    50,770.53x = 2,437,854,492.71
  5. Step 5: Solve for x
    x = 2,437,854,492.71/50,770.53
  6. Step 6: Final answer
    x = 48,017.12

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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.