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Finding the Fourth Proportional to 35,774.60, 49,366.49 and 19,857.80

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Solution

The fourth proportional to 35,774.60, 49,366.49 and 19,857.80 is: 27,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.60 : 49,366.49 = 19,857.80 : x
  2. Step 2: Convert to fraction form
    35,774.60/49,366.49 = 19,857.80/x
  3. Step 3: Cross multiply
    35,774.60x = 49,366.49 × 19,857.80
  4. Step 4: Simplify right side
    35,774.60x = 980,309,539.00
  5. Step 5: Solve for x
    x = 980,309,539.00/35,774.60
  6. Step 6: Final answer
    x = 27,402.39

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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.