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Finding the Fourth Proportional to 37,477.20, 51,716.99 and 20,482

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Solution

The fourth proportional to 37,477.20, 51,716.99 and 20,482 is: 28,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.20 : 51,716.99 = 20,482 : x
  2. Step 2: Convert to fraction form
    37,477.20/51,716.99 = 20,482/x
  3. Step 3: Cross multiply
    37,477.20x = 51,716.99 × 20,482
  4. Step 4: Simplify right side
    37,477.20x = 1,059,267,389.18
  5. Step 5: Solve for x
    x = 1,059,267,389.18/37,477.20
  6. Step 6: Final answer
    x = 28,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.