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Finding the Fourth Proportional to 55,647.90, 76,798.98 and 31,782.24

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Solution

The fourth proportional to 55,647.90, 76,798.98 and 31,782.24 is: 43,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647.90 : 76,798.98 = 31,782.24 : x
  2. Step 2: Convert to fraction form
    55,647.90/76,798.98 = 31,782.24/x
  3. Step 3: Cross multiply
    55,647.90x = 76,798.98 × 31,782.24
  4. Step 4: Simplify right side
    55,647.90x = 2,440,843,614.12
  5. Step 5: Solve for x
    x = 2,440,843,614.12/55,647.90
  6. Step 6: Final answer
    x = 43,862.28

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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.