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Finding the Fourth Proportional to 42,409.44, 58,533.72 and 29,659.20

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Solution

The fourth proportional to 42,409.44, 58,533.72 and 29,659.20 is: 40,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.44 : 58,533.72 = 29,659.20 : x
  2. Step 2: Convert to fraction form
    42,409.44/58,533.72 = 29,659.20/x
  3. Step 3: Cross multiply
    42,409.44x = 58,533.72 × 29,659.20
  4. Step 4: Simplify right side
    42,409.44x = 1,736,063,308.22
  5. Step 5: Solve for x
    x = 1,736,063,308.22/42,409.44
  6. Step 6: Final answer
    x = 40,935.78

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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.