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Finding the Fourth Proportional to 27,951.41, 41,929.95 and 9,231.50

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Solution

The fourth proportional to 27,951.41, 41,929.95 and 9,231.50 is: 13,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.41 : 41,929.95 = 9,231.50 : x
  2. Step 2: Convert to fraction form
    27,951.41/41,929.95 = 9,231.50/x
  3. Step 3: Cross multiply
    27,951.41x = 41,929.95 × 9,231.50
  4. Step 4: Simplify right side
    27,951.41x = 387,076,333.43
  5. Step 5: Solve for x
    x = 387,076,333.43/27,951.41
  6. Step 6: Final answer
    x = 13,848.19

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1.5x scale

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.