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Finding the Fourth Proportional to 30,616.31, 45,924.50 and 12,148.31

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Solution

The fourth proportional to 30,616.31, 45,924.50 and 12,148.31 is: 18,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.31 : 45,924.50 = 12,148.31 : x
  2. Step 2: Convert to fraction form
    30,616.31/45,924.50 = 12,148.31/x
  3. Step 3: Cross multiply
    30,616.31x = 45,924.50 × 12,148.31
  4. Step 4: Simplify right side
    30,616.31x = 557,905,207.78
  5. Step 5: Solve for x
    x = 557,905,207.78/30,616.31
  6. Step 6: Final answer
    x = 18,222.48

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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.