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Finding the Fourth Proportional to 42,884.84, 59,181.10 and 24,022.10

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Solution

The fourth proportional to 42,884.84, 59,181.10 and 24,022.10 is: 33,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.84 : 59,181.10 = 24,022.10 : x
  2. Step 2: Convert to fraction form
    42,884.84/59,181.10 = 24,022.10/x
  3. Step 3: Cross multiply
    42,884.84x = 59,181.10 × 24,022.10
  4. Step 4: Simplify right side
    42,884.84x = 1,421,654,302.31
  5. Step 5: Solve for x
    x = 1,421,654,302.31/42,884.84
  6. Step 6: Final answer
    x = 33,150.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.