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Finding the Fourth Proportional to 35,756.64, 49,345.88 and 19,841.22

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Solution

The fourth proportional to 35,756.64, 49,345.88 and 19,841.22 is: 27,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,756.64 : 49,345.88 = 19,841.22 : x
  2. Step 2: Convert to fraction form
    35,756.64/49,345.88 = 19,841.22/x
  3. Step 3: Cross multiply
    35,756.64x = 49,345.88 × 19,841.22
  4. Step 4: Simplify right side
    35,756.64x = 979,082,361.97
  5. Step 5: Solve for x
    x = 979,082,361.97/35,756.64
  6. Step 6: Final answer
    x = 27,381.83

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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.