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Finding the Fourth Proportional to 35,980.32, 49,653.48 and 20,063.06

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Solution

The fourth proportional to 35,980.32, 49,653.48 and 20,063.06 is: 27,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.32 : 49,653.48 = 20,063.06 : x
  2. Step 2: Convert to fraction form
    35,980.32/49,653.48 = 20,063.06/x
  3. Step 3: Cross multiply
    35,980.32x = 49,653.48 × 20,063.06
  4. Step 4: Simplify right side
    35,980.32x = 996,200,748.45
  5. Step 5: Solve for x
    x = 996,200,748.45/35,980.32
  6. Step 6: Final answer
    x = 27,687.38

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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.