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Finding the Fourth Proportional to 58,498.44, 80,727.60 and 31,641

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Solution

The fourth proportional to 58,498.44, 80,727.60 and 31,641 is: 43,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498.44 : 80,727.60 = 31,641 : x
  2. Step 2: Convert to fraction form
    58,498.44/80,727.60 = 31,641/x
  3. Step 3: Cross multiply
    58,498.44x = 80,727.60 × 31,641
  4. Step 4: Simplify right side
    58,498.44x = 2,554,301,991.60
  5. Step 5: Solve for x
    x = 2,554,301,991.60/58,498.44
  6. Step 6: Final answer
    x = 43,664.45

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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.