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Finding the Fourth Proportional to 25,999.41, 39,014.01 and 25,788

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Solution

The fourth proportional to 25,999.41, 39,014.01 and 25,788 is: 38,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.41 : 39,014.01 = 25,788 : x
  2. Step 2: Convert to fraction form
    25,999.41/39,014.01 = 25,788/x
  3. Step 3: Cross multiply
    25,999.41x = 39,014.01 × 25,788
  4. Step 4: Simplify right side
    25,999.41x = 1,006,093,289.88
  5. Step 5: Solve for x
    x = 1,006,093,289.88/25,999.41
  6. Step 6: Final answer
    x = 38,696.77

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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.