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Finding the Fourth Proportional to 42,013.88, 57,980.37 and 23,152.22

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Solution

The fourth proportional to 42,013.88, 57,980.37 and 23,152.22 is: 31,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.88 : 57,980.37 = 23,152.22 : x
  2. Step 2: Convert to fraction form
    42,013.88/57,980.37 = 23,152.22/x
  3. Step 3: Cross multiply
    42,013.88x = 57,980.37 × 23,152.22
  4. Step 4: Simplify right side
    42,013.88x = 1,342,374,281.92
  5. Step 5: Solve for x
    x = 1,342,374,281.92/42,013.88
  6. Step 6: Final answer
    x = 31,950.73

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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.