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Finding the Fourth Proportional to 35,598, 49,124.43 and 19,682.58

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Solution

The fourth proportional to 35,598, 49,124.43 and 19,682.58 is: 27,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,598 : 49,124.43 = 19,682.58 : x
  2. Step 2: Convert to fraction form
    35,598/49,124.43 = 19,682.58/x
  3. Step 3: Cross multiply
    35,598x = 49,124.43 × 19,682.58
  4. Step 4: Simplify right side
    35,598x = 966,895,523.43
  5. Step 5: Solve for x
    x = 966,895,523.43/35,598
  6. Step 6: Final answer
    x = 27,161.51

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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.