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Finding the Fourth Proportional to 30,138.64, 45,207.52 and 7,342.56

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Solution

The fourth proportional to 30,138.64, 45,207.52 and 7,342.56 is: 11,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.64 : 45,207.52 = 7,342.56 : x
  2. Step 2: Convert to fraction form
    30,138.64/45,207.52 = 7,342.56/x
  3. Step 3: Cross multiply
    30,138.64x = 45,207.52 × 7,342.56
  4. Step 4: Simplify right side
    30,138.64x = 331,938,909.69
  5. Step 5: Solve for x
    x = 331,938,909.69/30,138.64
  6. Step 6: Final answer
    x = 11,013.73

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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.