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Finding the Fourth Proportional to 52,039.19, 78,059.03 and 12,596.24

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Solution

The fourth proportional to 52,039.19, 78,059.03 and 12,596.24 is: 18,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.19 : 78,059.03 = 12,596.24 : x
  2. Step 2: Convert to fraction form
    52,039.19/78,059.03 = 12,596.24/x
  3. Step 3: Cross multiply
    52,039.19x = 78,059.03 × 12,596.24
  4. Step 4: Simplify right side
    52,039.19x = 983,250,408.21
  5. Step 5: Solve for x
    x = 983,250,408.21/52,039.19
  6. Step 6: Final answer
    x = 18,894.42

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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.