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Finding the Fourth Proportional to 43,388.61, 65,008.62 and 23,681

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Solution

The fourth proportional to 43,388.61, 65,008.62 and 23,681 is: 35,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,388.61 : 65,008.62 = 23,681 : x
  2. Step 2: Convert to fraction form
    43,388.61/65,008.62 = 23,681/x
  3. Step 3: Cross multiply
    43,388.61x = 65,008.62 × 23,681
  4. Step 4: Simplify right side
    43,388.61x = 1,539,469,130.22
  5. Step 5: Solve for x
    x = 1,539,469,130.22/43,388.61
  6. Step 6: Final answer
    x = 35,480.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.