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Finding the Fourth Proportional to 52,186.99, 78,216.32 and 24,068

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Solution

The fourth proportional to 52,186.99, 78,216.32 and 24,068 is: 36,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186.99 : 78,216.32 = 24,068 : x
  2. Step 2: Convert to fraction form
    52,186.99/78,216.32 = 24,068/x
  3. Step 3: Cross multiply
    52,186.99x = 78,216.32 × 24,068
  4. Step 4: Simplify right side
    52,186.99x = 1,882,510,389.76
  5. Step 5: Solve for x
    x = 1,882,510,389.76/52,186.99
  6. Step 6: Final answer
    x = 36,072.41

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Why These Related Problems?

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