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Finding the Fourth Proportional to 30,428.16, 45,620.31 and 13,779.62

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Solution

The fourth proportional to 30,428.16, 45,620.31 and 13,779.62 is: 20,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.16 : 45,620.31 = 13,779.62 : x
  2. Step 2: Convert to fraction form
    30,428.16/45,620.31 = 13,779.62/x
  3. Step 3: Cross multiply
    30,428.16x = 45,620.31 × 13,779.62
  4. Step 4: Simplify right side
    30,428.16x = 628,630,530.73
  5. Step 5: Solve for x
    x = 628,630,530.73/30,428.16
  6. Step 6: Final answer
    x = 20,659.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.