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Finding the Fourth Proportional to 42,627.10, 58,824.04 and 23,507.68

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Solution

The fourth proportional to 42,627.10, 58,824.04 and 23,507.68 is: 32,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,627.10 : 58,824.04 = 23,507.68 : x
  2. Step 2: Convert to fraction form
    42,627.10/58,824.04 = 23,507.68/x
  3. Step 3: Cross multiply
    42,627.10x = 58,824.04 × 23,507.68
  4. Step 4: Simplify right side
    42,627.10x = 1,382,816,414.51
  5. Step 5: Solve for x
    x = 1,382,816,414.51/42,627.10
  6. Step 6: Final answer
    x = 32,439.85

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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.