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Finding the Fourth Proportional to 82,597.60, 123,896.40 and 30,000.34

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Solution

The fourth proportional to 82,597.60, 123,896.40 and 30,000.34 is: 45,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,597.60 : 123,896.40 = 30,000.34 : x
  2. Step 2: Convert to fraction form
    82,597.60/123,896.40 = 30,000.34/x
  3. Step 3: Cross multiply
    82,597.60x = 123,896.40 × 30,000.34
  4. Step 4: Simplify right side
    82,597.60x = 3,716,934,124.78
  5. Step 5: Solve for x
    x = 3,716,934,124.78/82,597.60
  6. Step 6: Final answer
    x = 45,000.51

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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.