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Finding the Fourth Proportional to 42,023.70, 57,992.93 and 23,160.82

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Solution

The fourth proportional to 42,023.70, 57,992.93 and 23,160.82 is: 31,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,023.70 : 57,992.93 = 23,160.82 : x
  2. Step 2: Convert to fraction form
    42,023.70/57,992.93 = 23,160.82/x
  3. Step 3: Cross multiply
    42,023.70x = 57,992.93 × 23,160.82
  4. Step 4: Simplify right side
    42,023.70x = 1,343,163,813.00
  5. Step 5: Solve for x
    x = 1,343,163,813.00/42,023.70
  6. Step 6: Final answer
    x = 31,962.06

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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.