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Finding the Fourth Proportional to 35,820.69, 53,712.57 and 16,082.31

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Solution

The fourth proportional to 35,820.69, 53,712.57 and 16,082.31 is: 24,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.69 : 53,712.57 = 16,082.31 : x
  2. Step 2: Convert to fraction form
    35,820.69/53,712.57 = 16,082.31/x
  3. Step 3: Cross multiply
    35,820.69x = 53,712.57 × 16,082.31
  4. Step 4: Simplify right side
    35,820.69x = 863,822,201.64
  5. Step 5: Solve for x
    x = 863,822,201.64/35,820.69
  6. Step 6: Final answer
    x = 24,115.17

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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.