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Finding the Fourth Proportional to 47,583.62, 65,665.26 and 26,362.88

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Solution

The fourth proportional to 47,583.62, 65,665.26 and 26,362.88 is: 36,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,583.62 : 65,665.26 = 26,362.88 : x
  2. Step 2: Convert to fraction form
    47,583.62/65,665.26 = 26,362.88/x
  3. Step 3: Cross multiply
    47,583.62x = 65,665.26 × 26,362.88
  4. Step 4: Simplify right side
    47,583.62x = 1,731,125,369.55
  5. Step 5: Solve for x
    x = 1,731,125,369.55/47,583.62
  6. Step 6: Final answer
    x = 36,380.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.