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Finding the Fourth Proportional to 39,089.68, 53,943.80 and 23,182

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Solution

The fourth proportional to 39,089.68, 53,943.80 and 23,182 is: 31,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089.68 : 53,943.80 = 23,182 : x
  2. Step 2: Convert to fraction form
    39,089.68/53,943.80 = 23,182/x
  3. Step 3: Cross multiply
    39,089.68x = 53,943.80 × 23,182
  4. Step 4: Simplify right side
    39,089.68x = 1,250,525,171.60
  5. Step 5: Solve for x
    x = 1,250,525,171.60/39,089.68
  6. Step 6: Final answer
    x = 31,991.18

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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.