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Finding the Fourth Proportional to 30,406.20, 45,587.70 and 13,774.20

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Solution

The fourth proportional to 30,406.20, 45,587.70 and 13,774.20 is: 20,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.20 : 45,587.70 = 13,774.20 : x
  2. Step 2: Convert to fraction form
    30,406.20/45,587.70 = 13,774.20/x
  3. Step 3: Cross multiply
    30,406.20x = 45,587.70 × 13,774.20
  4. Step 4: Simplify right side
    30,406.20x = 627,934,097.34
  5. Step 5: Solve for x
    x = 627,934,097.34/30,406.20
  6. Step 6: Final answer
    x = 20,651.52

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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.