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Finding the Fourth Proportional to 27,281.80, 40,922.70 and 18,047.80

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Solution

The fourth proportional to 27,281.80, 40,922.70 and 18,047.80 is: 27,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.80 : 40,922.70 = 18,047.80 : x
  2. Step 2: Convert to fraction form
    27,281.80/40,922.70 = 18,047.80/x
  3. Step 3: Cross multiply
    27,281.80x = 40,922.70 × 18,047.80
  4. Step 4: Simplify right side
    27,281.80x = 738,564,705.06
  5. Step 5: Solve for x
    x = 738,564,705.06/27,281.80
  6. Step 6: Final answer
    x = 27,071.70

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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.