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Finding the Fourth Proportional to 82,421.60, 123,632.82 and 35,024.48

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Solution

The fourth proportional to 82,421.60, 123,632.82 and 35,024.48 is: 52,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,421.60 : 123,632.82 = 35,024.48 : x
  2. Step 2: Convert to fraction form
    82,421.60/123,632.82 = 35,024.48/x
  3. Step 3: Cross multiply
    82,421.60x = 123,632.82 × 35,024.48
  4. Step 4: Simplify right side
    82,421.60x = 4,330,175,231.43
  5. Step 5: Solve for x
    x = 4,330,175,231.43/82,421.60
  6. Step 6: Final answer
    x = 52,536.90

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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.