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Finding the Fourth Proportional to 37,676.16, 51,992.19 and 20,909.16

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Solution

The fourth proportional to 37,676.16, 51,992.19 and 20,909.16 is: 28,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676.16 : 51,992.19 = 20,909.16 : x
  2. Step 2: Convert to fraction form
    37,676.16/51,992.19 = 20,909.16/x
  3. Step 3: Cross multiply
    37,676.16x = 51,992.19 × 20,909.16
  4. Step 4: Simplify right side
    37,676.16x = 1,087,113,019.46
  5. Step 5: Solve for x
    x = 1,087,113,019.46/37,676.16
  6. Step 6: Final answer
    x = 28,854.14

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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.