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Finding the Fourth Proportional to 35,764.96, 49,356.66 and 19,633

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Solution

The fourth proportional to 35,764.96, 49,356.66 and 19,633 is: 27,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.96 : 49,356.66 = 19,633 : x
  2. Step 2: Convert to fraction form
    35,764.96/49,356.66 = 19,633/x
  3. Step 3: Cross multiply
    35,764.96x = 49,356.66 × 19,633
  4. Step 4: Simplify right side
    35,764.96x = 969,019,305.78
  5. Step 5: Solve for x
    x = 969,019,305.78/35,764.96
  6. Step 6: Final answer
    x = 27,094.10

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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.