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Finding the Fourth Proportional to 27,829, 41,743.50 and 9,361

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Solution

The fourth proportional to 27,829, 41,743.50 and 9,361 is: 14,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829 : 41,743.50 = 9,361 : x
  2. Step 2: Convert to fraction form
    27,829/41,743.50 = 9,361/x
  3. Step 3: Cross multiply
    27,829x = 41,743.50 × 9,361
  4. Step 4: Simplify right side
    27,829x = 390,760,903.50
  5. Step 5: Solve for x
    x = 390,760,903.50/27,829
  6. Step 6: Final answer
    x = 14,041.50

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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.