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Finding the Fourth Proportional to 25,078.50, 37,635.03 and 8,662.50

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Solution

The fourth proportional to 25,078.50, 37,635.03 and 8,662.50 is: 12,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078.50 : 37,635.03 = 8,662.50 : x
  2. Step 2: Convert to fraction form
    25,078.50/37,635.03 = 8,662.50/x
  3. Step 3: Cross multiply
    25,078.50x = 37,635.03 × 8,662.50
  4. Step 4: Simplify right side
    25,078.50x = 326,013,447.38
  5. Step 5: Solve for x
    x = 326,013,447.38/25,078.50
  6. Step 6: Final answer
    x = 12,999.72

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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.