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Finding the Fourth Proportional to 30,498.08, 45,724.40 and 20,609.60

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Solution

The fourth proportional to 30,498.08, 45,724.40 and 20,609.60 is: 30,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.08 : 45,724.40 = 20,609.60 : x
  2. Step 2: Convert to fraction form
    30,498.08/45,724.40 = 20,609.60/x
  3. Step 3: Cross multiply
    30,498.08x = 45,724.40 × 20,609.60
  4. Step 4: Simplify right side
    30,498.08x = 942,361,594.24
  5. Step 5: Solve for x
    x = 942,361,594.24/30,498.08
  6. Step 6: Final answer
    x = 30,899.05

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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.