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Finding the Fourth Proportional to 30,456.98, 45,693.25 and 11,731.99

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Solution

The fourth proportional to 30,456.98, 45,693.25 and 11,731.99 is: 17,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.98 : 45,693.25 = 11,731.99 : x
  2. Step 2: Convert to fraction form
    30,456.98/45,693.25 = 11,731.99/x
  3. Step 3: Cross multiply
    30,456.98x = 45,693.25 × 11,731.99
  4. Step 4: Simplify right side
    30,456.98x = 536,072,694.18
  5. Step 5: Solve for x
    x = 536,072,694.18/30,456.98
  6. Step 6: Final answer
    x = 17,600.98

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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.