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Finding the Fourth Proportional to 50,605.24, 75,907.70 and 13,669.24

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Solution

The fourth proportional to 50,605.24, 75,907.70 and 13,669.24 is: 20,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,605.24 : 75,907.70 = 13,669.24 : x
  2. Step 2: Convert to fraction form
    50,605.24/75,907.70 = 13,669.24/x
  3. Step 3: Cross multiply
    50,605.24x = 75,907.70 × 13,669.24
  4. Step 4: Simplify right side
    50,605.24x = 1,037,600,569.15
  5. Step 5: Solve for x
    x = 1,037,600,569.15/50,605.24
  6. Step 6: Final answer
    x = 20,503.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.