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Finding the Fourth Proportional to 27,485.50, 41,225.28 and 18,657.40

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Solution

The fourth proportional to 27,485.50, 41,225.28 and 18,657.40 is: 27,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,485.50 : 41,225.28 = 18,657.40 : x
  2. Step 2: Convert to fraction form
    27,485.50/41,225.28 = 18,657.40/x
  3. Step 3: Cross multiply
    27,485.50x = 41,225.28 × 18,657.40
  4. Step 4: Simplify right side
    27,485.50x = 769,156,539.07
  5. Step 5: Solve for x
    x = 769,156,539.07/27,485.50
  6. Step 6: Final answer
    x = 27,984.08

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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.