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Finding the Fourth Proportional to 82,709.33, 124,064.73 and 23,544.98

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Solution

The fourth proportional to 82,709.33, 124,064.73 and 23,544.98 is: 35,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.33 : 124,064.73 = 23,544.98 : x
  2. Step 2: Convert to fraction form
    82,709.33/124,064.73 = 23,544.98/x
  3. Step 3: Cross multiply
    82,709.33x = 124,064.73 × 23,544.98
  4. Step 4: Simplify right side
    82,709.33x = 2,921,100,966.23
  5. Step 5: Solve for x
    x = 2,921,100,966.23/82,709.33
  6. Step 6: Final answer
    x = 35,317.67

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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.