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Finding the Fourth Proportional to 36,984.24, 51,038.04 and 20,217.24

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Solution

The fourth proportional to 36,984.24, 51,038.04 and 20,217.24 is: 27,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984.24 : 51,038.04 = 20,217.24 : x
  2. Step 2: Convert to fraction form
    36,984.24/51,038.04 = 20,217.24/x
  3. Step 3: Cross multiply
    36,984.24x = 51,038.04 × 20,217.24
  4. Step 4: Simplify right side
    36,984.24x = 1,031,848,303.81
  5. Step 5: Solve for x
    x = 1,031,848,303.81/36,984.24
  6. Step 6: Final answer
    x = 27,899.68

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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.