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Finding the Fourth Proportional to 27,525.50, 41,294.04 and 14,374.34

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Solution

The fourth proportional to 27,525.50, 41,294.04 and 14,374.34 is: 21,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.50 : 41,294.04 = 14,374.34 : x
  2. Step 2: Convert to fraction form
    27,525.50/41,294.04 = 14,374.34/x
  3. Step 3: Cross multiply
    27,525.50x = 41,294.04 × 14,374.34
  4. Step 4: Simplify right side
    27,525.50x = 593,574,570.93
  5. Step 5: Solve for x
    x = 593,574,570.93/27,525.50
  6. Step 6: Final answer
    x = 21,564.53

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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.