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Finding the Fourth Proportional to 47,584.57, 65,663.85 and 26,362.30

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Solution

The fourth proportional to 47,584.57, 65,663.85 and 26,362.30 is: 36,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,584.57 : 65,663.85 = 26,362.30 : x
  2. Step 2: Convert to fraction form
    47,584.57/65,663.85 = 26,362.30/x
  3. Step 3: Cross multiply
    47,584.57x = 65,663.85 × 26,362.30
  4. Step 4: Simplify right side
    47,584.57x = 1,731,050,112.86
  5. Step 5: Solve for x
    x = 1,731,050,112.86/47,584.57
  6. Step 6: Final answer
    x = 36,378.39

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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.