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Finding the Fourth Proportional to 35,953.50, 49,617.99 and 19,820.78

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Solution

The fourth proportional to 35,953.50, 49,617.99 and 19,820.78 is: 27,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.50 : 49,617.99 = 19,820.78 : x
  2. Step 2: Convert to fraction form
    35,953.50/49,617.99 = 19,820.78/x
  3. Step 3: Cross multiply
    35,953.50x = 49,617.99 × 19,820.78
  4. Step 4: Simplify right side
    35,953.50x = 983,467,015.74
  5. Step 5: Solve for x
    x = 983,467,015.74/35,953.50
  6. Step 6: Final answer
    x = 27,353.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.