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Finding the Fourth Proportional to 51,479.47, 77,224.97 and 16,410.99

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Solution

The fourth proportional to 51,479.47, 77,224.97 and 16,410.99 is: 24,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,479.47 : 77,224.97 = 16,410.99 : x
  2. Step 2: Convert to fraction form
    51,479.47/77,224.97 = 16,410.99/x
  3. Step 3: Cross multiply
    51,479.47x = 77,224.97 × 16,410.99
  4. Step 4: Simplify right side
    51,479.47x = 1,267,338,128.37
  5. Step 5: Solve for x
    x = 1,267,338,128.37/51,479.47
  6. Step 6: Final answer
    x = 24,618.32

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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.