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Finding the Fourth Proportional to 27,023.62, 40,535.55 and 8,303.50

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Solution

The fourth proportional to 27,023.62, 40,535.55 and 8,303.50 is: 12,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023.62 : 40,535.55 = 8,303.50 : x
  2. Step 2: Convert to fraction form
    27,023.62/40,535.55 = 8,303.50/x
  3. Step 3: Cross multiply
    27,023.62x = 40,535.55 × 8,303.50
  4. Step 4: Simplify right side
    27,023.62x = 336,586,939.43
  5. Step 5: Solve for x
    x = 336,586,939.43/27,023.62
  6. Step 6: Final answer
    x = 12,455.29

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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.