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Finding the Fourth Proportional to 27,730.99, 41,603.50 and 7,740.48

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Solution

The fourth proportional to 27,730.99, 41,603.50 and 7,740.48 is: 11,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.99 : 41,603.50 = 7,740.48 : x
  2. Step 2: Convert to fraction form
    27,730.99/41,603.50 = 7,740.48/x
  3. Step 3: Cross multiply
    27,730.99x = 41,603.50 × 7,740.48
  4. Step 4: Simplify right side
    27,730.99x = 322,031,059.68
  5. Step 5: Solve for x
    x = 322,031,059.68/27,730.99
  6. Step 6: Final answer
    x = 11,612.68

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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.