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Finding the Fourth Proportional to 36,971.16, 51,020.04 and 20,204.16

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Solution

The fourth proportional to 36,971.16, 51,020.04 and 20,204.16 is: 27,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.16 : 51,020.04 = 20,204.16 : x
  2. Step 2: Convert to fraction form
    36,971.16/51,020.04 = 20,204.16/x
  3. Step 3: Cross multiply
    36,971.16x = 51,020.04 × 20,204.16
  4. Step 4: Simplify right side
    36,971.16x = 1,030,817,051.37
  5. Step 5: Solve for x
    x = 1,030,817,051.37/36,971.16
  6. Step 6: Final answer
    x = 27,881.65

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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.