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Finding the Fourth Proportional to 52,478.86, 78,695.80 and 24,395.99

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Solution

The fourth proportional to 52,478.86, 78,695.80 and 24,395.99 is: 36,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.86 : 78,695.80 = 24,395.99 : x
  2. Step 2: Convert to fraction form
    52,478.86/78,695.80 = 24,395.99/x
  3. Step 3: Cross multiply
    52,478.86x = 78,695.80 × 24,395.99
  4. Step 4: Simplify right side
    52,478.86x = 1,919,861,556.36
  5. Step 5: Solve for x
    x = 1,919,861,556.36/52,478.86
  6. Step 6: Final answer
    x = 36,583.52

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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.