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Finding the Fourth Proportional to 31,636, 43,653.28 and 18,202.16

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Solution

The fourth proportional to 31,636, 43,653.28 and 18,202.16 is: 25,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636 : 43,653.28 = 18,202.16 : x
  2. Step 2: Convert to fraction form
    31,636/43,653.28 = 18,202.16/x
  3. Step 3: Cross multiply
    31,636x = 43,653.28 × 18,202.16
  4. Step 4: Simplify right side
    31,636x = 794,583,987.08
  5. Step 5: Solve for x
    x = 794,583,987.08/31,636
  6. Step 6: Final answer
    x = 25,116.45

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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.