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Finding the Fourth Proportional to 52,037.86, 71,763.50 and 34,544.24

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Solution

The fourth proportional to 52,037.86, 71,763.50 and 34,544.24 is: 47,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037.86 : 71,763.50 = 34,544.24 : x
  2. Step 2: Convert to fraction form
    52,037.86/71,763.50 = 34,544.24/x
  3. Step 3: Cross multiply
    52,037.86x = 71,763.50 × 34,544.24
  4. Step 4: Simplify right side
    52,037.86x = 2,479,015,833.01
  5. Step 5: Solve for x
    x = 2,479,015,833.01/52,037.86
  6. Step 6: Final answer
    x = 47,638.70

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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.