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Finding the Fourth Proportional to 101,536.13, 152,304.20 and 27,664.13

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Solution

The fourth proportional to 101,536.13, 152,304.20 and 27,664.13 is: 41,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,536.13 : 152,304.20 = 27,664.13 : x
  2. Step 2: Convert to fraction form
    101,536.13/152,304.20 = 27,664.13/x
  3. Step 3: Cross multiply
    101,536.13x = 152,304.20 × 27,664.13
  4. Step 4: Simplify right side
    101,536.13x = 4,213,362,288.50
  5. Step 5: Solve for x
    x = 4,213,362,288.50/101,536.13
  6. Step 6: Final answer
    x = 41,496.19

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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.