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Finding the Fourth Proportional to 35,782.57, 49,323.36 and 27,257.32

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Solution

The fourth proportional to 35,782.57, 49,323.36 and 27,257.32 is: 37,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.57 : 49,323.36 = 27,257.32 : x
  2. Step 2: Convert to fraction form
    35,782.57/49,323.36 = 27,257.32/x
  3. Step 3: Cross multiply
    35,782.57x = 49,323.36 × 27,257.32
  4. Step 4: Simplify right side
    35,782.57x = 1,344,422,607.00
  5. Step 5: Solve for x
    x = 1,344,422,607.00/35,782.57
  6. Step 6: Final answer
    x = 37,572.00

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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.