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Finding the Fourth Proportional to 72,112.68, 108,022.14 and 58,833

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Solution

The fourth proportional to 72,112.68, 108,022.14 and 58,833 is: 88,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112.68 : 108,022.14 = 58,833 : x
  2. Step 2: Convert to fraction form
    72,112.68/108,022.14 = 58,833/x
  3. Step 3: Cross multiply
    72,112.68x = 108,022.14 × 58,833
  4. Step 4: Simplify right side
    72,112.68x = 6,355,266,562.62
  5. Step 5: Solve for x
    x = 6,355,266,562.62/72,112.68
  6. Step 6: Final answer
    x = 88,129.67

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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.