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Finding the Fourth Proportional to 27,492.18, 41,238.09 and 6,715.50

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Solution

The fourth proportional to 27,492.18, 41,238.09 and 6,715.50 is: 10,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.18 : 41,238.09 = 6,715.50 : x
  2. Step 2: Convert to fraction form
    27,492.18/41,238.09 = 6,715.50/x
  3. Step 3: Cross multiply
    27,492.18x = 41,238.09 × 6,715.50
  4. Step 4: Simplify right side
    27,492.18x = 276,934,393.40
  5. Step 5: Solve for x
    x = 276,934,393.40/27,492.18
  6. Step 6: Final answer
    x = 10,073.21

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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.