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Finding the Fourth Proportional to 27,803.99, 38,245.07 and 24,384.17

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Solution

The fourth proportional to 27,803.99, 38,245.07 and 24,384.17 is: 33,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.99 : 38,245.07 = 24,384.17 : x
  2. Step 2: Convert to fraction form
    27,803.99/38,245.07 = 24,384.17/x
  3. Step 3: Cross multiply
    27,803.99x = 38,245.07 × 24,384.17
  4. Step 4: Simplify right side
    27,803.99x = 932,573,975.40
  5. Step 5: Solve for x
    x = 932,573,975.40/27,803.99
  6. Step 6: Final answer
    x = 33,541.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.