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Finding the Fourth Proportional to 35,773.64, 49,363.62 and 19,858.76

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Solution

The fourth proportional to 35,773.64, 49,363.62 and 19,858.76 is: 27,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,773.64 : 49,363.62 = 19,858.76 : x
  2. Step 2: Convert to fraction form
    35,773.64/49,363.62 = 19,858.76/x
  3. Step 3: Cross multiply
    35,773.64x = 49,363.62 × 19,858.76
  4. Step 4: Simplify right side
    35,773.64x = 980,300,282.31
  5. Step 5: Solve for x
    x = 980,300,282.31/35,773.64
  6. Step 6: Final answer
    x = 27,402.87

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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.