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Finding the Fourth Proportional to 52,048.50, 78,096.94 and 16,515.42

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Solution

The fourth proportional to 52,048.50, 78,096.94 and 16,515.42 is: 24,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.50 : 78,096.94 = 16,515.42 : x
  2. Step 2: Convert to fraction form
    52,048.50/78,096.94 = 16,515.42/x
  3. Step 3: Cross multiply
    52,048.50x = 78,096.94 × 16,515.42
  4. Step 4: Simplify right side
    52,048.50x = 1,289,803,764.81
  5. Step 5: Solve for x
    x = 1,289,803,764.81/52,048.50
  6. Step 6: Final answer
    x = 24,780.81

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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.