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Finding the Fourth Proportional to 27,038.56, 40,557.93 and 8,318.47

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Solution

The fourth proportional to 27,038.56, 40,557.93 and 8,318.47 is: 12,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.56 : 40,557.93 = 8,318.47 : x
  2. Step 2: Convert to fraction form
    27,038.56/40,557.93 = 8,318.47/x
  3. Step 3: Cross multiply
    27,038.56x = 40,557.93 × 8,318.47
  4. Step 4: Simplify right side
    27,038.56x = 337,379,801.78
  5. Step 5: Solve for x
    x = 337,379,801.78/27,038.56
  6. Step 6: Final answer
    x = 12,477.73

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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.