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Finding the Fourth Proportional to 27,428.15, 37,850.82 and 14,852.90

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Solution

The fourth proportional to 27,428.15, 37,850.82 and 14,852.90 is: 20,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.15 : 37,850.82 = 14,852.90 : x
  2. Step 2: Convert to fraction form
    27,428.15/37,850.82 = 14,852.90/x
  3. Step 3: Cross multiply
    27,428.15x = 37,850.82 × 14,852.90
  4. Step 4: Simplify right side
    27,428.15x = 562,194,444.38
  5. Step 5: Solve for x
    x = 562,194,444.38/27,428.15
  6. Step 6: Final answer
    x = 20,496.99

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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.