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Finding the Fourth Proportional to 50,438.69, 69,582 and 32,539.44

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Solution

The fourth proportional to 50,438.69, 69,582 and 32,539.44 is: 44,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438.69 : 69,582 = 32,539.44 : x
  2. Step 2: Convert to fraction form
    50,438.69/69,582 = 32,539.44/x
  3. Step 3: Cross multiply
    50,438.69x = 69,582 × 32,539.44
  4. Step 4: Simplify right side
    50,438.69x = 2,264,159,314.08
  5. Step 5: Solve for x
    x = 2,264,159,314.08/50,438.69
  6. Step 6: Final answer
    x = 44,889.34

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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.