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Finding the Fourth Proportional to 27,000.06, 40,506.01 and 8,281.50

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Solution

The fourth proportional to 27,000.06, 40,506.01 and 8,281.50 is: 12,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.06 : 40,506.01 = 8,281.50 : x
  2. Step 2: Convert to fraction form
    27,000.06/40,506.01 = 8,281.50/x
  3. Step 3: Cross multiply
    27,000.06x = 40,506.01 × 8,281.50
  4. Step 4: Simplify right side
    27,000.06x = 335,450,501.11
  5. Step 5: Solve for x
    x = 335,450,501.11/27,000.06
  6. Step 6: Final answer
    x = 12,424.07

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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.