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Finding the Fourth Proportional to 35,856.66, 49,483.41 and 19,724.66

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Solution

The fourth proportional to 35,856.66, 49,483.41 and 19,724.66 is: 27,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.66 : 49,483.41 = 19,724.66 : x
  2. Step 2: Convert to fraction form
    35,856.66/49,483.41 = 19,724.66/x
  3. Step 3: Cross multiply
    35,856.66x = 49,483.41 × 19,724.66
  4. Step 4: Simplify right side
    35,856.66x = 976,043,190.47
  5. Step 5: Solve for x
    x = 976,043,190.47/35,856.66
  6. Step 6: Final answer
    x = 27,220.69

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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.