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Finding the Fourth Proportional to 51,993.86, 71,762.63 and 32,861.45

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Solution

The fourth proportional to 51,993.86, 71,762.63 and 32,861.45 is: 45,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.86 : 71,762.63 = 32,861.45 : x
  2. Step 2: Convert to fraction form
    51,993.86/71,762.63 = 32,861.45/x
  3. Step 3: Cross multiply
    51,993.86x = 71,762.63 × 32,861.45
  4. Step 4: Simplify right side
    51,993.86x = 2,358,224,092.71
  5. Step 5: Solve for x
    x = 2,358,224,092.71/51,993.86
  6. Step 6: Final answer
    x = 45,355.82

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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.