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Finding the Fourth Proportional to 27,848.52, 41,722.52 and 18,466.32

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Solution

The fourth proportional to 27,848.52, 41,722.52 and 18,466.32 is: 27,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848.52 : 41,722.52 = 18,466.32 : x
  2. Step 2: Convert to fraction form
    27,848.52/41,722.52 = 18,466.32/x
  3. Step 3: Cross multiply
    27,848.52x = 41,722.52 × 18,466.32
  4. Step 4: Simplify right side
    27,848.52x = 770,461,405.53
  5. Step 5: Solve for x
    x = 770,461,405.53/27,848.52
  6. Step 6: Final answer
    x = 27,666.15

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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.