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Finding the Fourth Proportional to 42,071.92, 58,059.31 and 23,209

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Solution

The fourth proportional to 42,071.92, 58,059.31 and 23,209 is: 32,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071.92 : 58,059.31 = 23,209 : x
  2. Step 2: Convert to fraction form
    42,071.92/58,059.31 = 23,209/x
  3. Step 3: Cross multiply
    42,071.92x = 58,059.31 × 23,209
  4. Step 4: Simplify right side
    42,071.92x = 1,347,498,525.79
  5. Step 5: Solve for x
    x = 1,347,498,525.79/42,071.92
  6. Step 6: Final answer
    x = 32,028.45

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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.