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Finding the Fourth Proportional to 82,980.69, 124,432.14 and 30,353.37

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Solution

The fourth proportional to 82,980.69, 124,432.14 and 30,353.37 is: 45,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.69 : 124,432.14 = 30,353.37 : x
  2. Step 2: Convert to fraction form
    82,980.69/124,432.14 = 30,353.37/x
  3. Step 3: Cross multiply
    82,980.69x = 124,432.14 × 30,353.37
  4. Step 4: Simplify right side
    82,980.69x = 3,776,934,785.31
  5. Step 5: Solve for x
    x = 3,776,934,785.31/82,980.69
  6. Step 6: Final answer
    x = 45,515.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.