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Finding the Fourth Proportional to 27,970.03, 38,578.99 and 18,406.87

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Solution

The fourth proportional to 27,970.03, 38,578.99 and 18,406.87 is: 25,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.03 : 38,578.99 = 18,406.87 : x
  2. Step 2: Convert to fraction form
    27,970.03/38,578.99 = 18,406.87/x
  3. Step 3: Cross multiply
    27,970.03x = 38,578.99 × 18,406.87
  4. Step 4: Simplify right side
    27,970.03x = 710,118,168.73
  5. Step 5: Solve for x
    x = 710,118,168.73/27,970.03
  6. Step 6: Final answer
    x = 25,388.54

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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.