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Finding the Fourth Proportional to 82,993.86, 124,432.47 and 30,396.51

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Solution

The fourth proportional to 82,993.86, 124,432.47 and 30,396.51 is: 45,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.86 : 124,432.47 = 30,396.51 : x
  2. Step 2: Convert to fraction form
    82,993.86/124,432.47 = 30,396.51/x
  3. Step 3: Cross multiply
    82,993.86x = 124,432.47 × 30,396.51
  4. Step 4: Simplify right side
    82,993.86x = 3,782,312,818.68
  5. Step 5: Solve for x
    x = 3,782,312,818.68/82,993.86
  6. Step 6: Final answer
    x = 45,573.41

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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.