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Finding the Fourth Proportional to 37,454.32, 51,684.36 and 20,686

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Solution

The fourth proportional to 37,454.32, 51,684.36 and 20,686 is: 28,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454.32 : 51,684.36 = 20,686 : x
  2. Step 2: Convert to fraction form
    37,454.32/51,684.36 = 20,686/x
  3. Step 3: Cross multiply
    37,454.32x = 51,684.36 × 20,686
  4. Step 4: Simplify right side
    37,454.32x = 1,069,142,670.96
  5. Step 5: Solve for x
    x = 1,069,142,670.96/37,454.32
  6. Step 6: Final answer
    x = 28,545.24

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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.