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Finding the Fourth Proportional to 30,147.54, 45,215.14 and 11,421.12

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Solution

The fourth proportional to 30,147.54, 45,215.14 and 11,421.12 is: 17,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.54 : 45,215.14 = 11,421.12 : x
  2. Step 2: Convert to fraction form
    30,147.54/45,215.14 = 11,421.12/x
  3. Step 3: Cross multiply
    30,147.54x = 45,215.14 × 11,421.12
  4. Step 4: Simplify right side
    30,147.54x = 516,407,539.76
  5. Step 5: Solve for x
    x = 516,407,539.76/30,147.54
  6. Step 6: Final answer
    x = 17,129.34

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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.