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Finding the Fourth Proportional to 56,202.56, 77,548.32 and 33,848

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Solution

The fourth proportional to 56,202.56, 77,548.32 and 33,848 is: 46,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.56 : 77,548.32 = 33,848 : x
  2. Step 2: Convert to fraction form
    56,202.56/77,548.32 = 33,848/x
  3. Step 3: Cross multiply
    56,202.56x = 77,548.32 × 33,848
  4. Step 4: Simplify right side
    56,202.56x = 2,624,855,535.36
  5. Step 5: Solve for x
    x = 2,624,855,535.36/56,202.56
  6. Step 6: Final answer
    x = 46,703.49

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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.