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Finding the Fourth Proportional to 82,403, 123,531.20 and 29,800.79

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Solution

The fourth proportional to 82,403, 123,531.20 and 29,800.79 is: 44,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403 : 123,531.20 = 29,800.79 : x
  2. Step 2: Convert to fraction form
    82,403/123,531.20 = 29,800.79/x
  3. Step 3: Cross multiply
    82,403x = 123,531.20 × 29,800.79
  4. Step 4: Simplify right side
    82,403x = 3,681,327,200.64
  5. Step 5: Solve for x
    x = 3,681,327,200.64/82,403
  6. Step 6: Final answer
    x = 44,674.67

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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.