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Finding the Fourth Proportional to 60,617.50, 83,654.74 and 33,760

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Solution

The fourth proportional to 60,617.50, 83,654.74 and 33,760 is: 46,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,617.50 : 83,654.74 = 33,760 : x
  2. Step 2: Convert to fraction form
    60,617.50/83,654.74 = 33,760/x
  3. Step 3: Cross multiply
    60,617.50x = 83,654.74 × 33,760
  4. Step 4: Simplify right side
    60,617.50x = 2,824,184,022.40
  5. Step 5: Solve for x
    x = 2,824,184,022.40/60,617.50
  6. Step 6: Final answer
    x = 46,590.24

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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.