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Finding the Fourth Proportional to 30,580.52, 45,870.75 and 20,189.84

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Solution

The fourth proportional to 30,580.52, 45,870.75 and 20,189.84 is: 30,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.52 : 45,870.75 = 20,189.84 : x
  2. Step 2: Convert to fraction form
    30,580.52/45,870.75 = 20,189.84/x
  3. Step 3: Cross multiply
    30,580.52x = 45,870.75 × 20,189.84
  4. Step 4: Simplify right side
    30,580.52x = 926,122,873.83
  5. Step 5: Solve for x
    x = 926,122,873.83/30,580.52
  6. Step 6: Final answer
    x = 30,284.74

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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.