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Finding the Fourth Proportional to 42,009.60, 57,972.60 and 23,147.40

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Solution

The fourth proportional to 42,009.60, 57,972.60 and 23,147.40 is: 31,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,009.60 : 57,972.60 = 23,147.40 : x
  2. Step 2: Convert to fraction form
    42,009.60/57,972.60 = 23,147.40/x
  3. Step 3: Cross multiply
    42,009.60x = 57,972.60 × 23,147.40
  4. Step 4: Simplify right side
    42,009.60x = 1,341,914,961.24
  5. Step 5: Solve for x
    x = 1,341,914,961.24/42,009.60
  6. Step 6: Final answer
    x = 31,943.05

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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.