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Finding the Fourth Proportional to 45,670.50, 63,027.72 and 27,762.60

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Solution

The fourth proportional to 45,670.50, 63,027.72 and 27,762.60 is: 38,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,670.50 : 63,027.72 = 27,762.60 : x
  2. Step 2: Convert to fraction form
    45,670.50/63,027.72 = 27,762.60/x
  3. Step 3: Cross multiply
    45,670.50x = 63,027.72 × 27,762.60
  4. Step 4: Simplify right side
    45,670.50x = 1,749,813,379.27
  5. Step 5: Solve for x
    x = 1,749,813,379.27/45,670.50
  6. Step 6: Final answer
    x = 38,313.87

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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.