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Finding the Fourth Proportional to 35,893.04, 49,532.02 and 19,977.24

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Solution

The fourth proportional to 35,893.04, 49,532.02 and 19,977.24 is: 27,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.04 : 49,532.02 = 19,977.24 : x
  2. Step 2: Convert to fraction form
    35,893.04/49,532.02 = 19,977.24/x
  3. Step 3: Cross multiply
    35,893.04x = 49,532.02 × 19,977.24
  4. Step 4: Simplify right side
    35,893.04x = 989,513,051.22
  5. Step 5: Solve for x
    x = 989,513,051.22/35,893.04
  6. Step 6: Final answer
    x = 27,568.38

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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.