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Finding the Fourth Proportional to 42,029.40, 57,998.70 and 23,165.40

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Solution

The fourth proportional to 42,029.40, 57,998.70 and 23,165.40 is: 31,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029.40 : 57,998.70 = 23,165.40 : x
  2. Step 2: Convert to fraction form
    42,029.40/57,998.70 = 23,165.40/x
  3. Step 3: Cross multiply
    42,029.40x = 57,998.70 × 23,165.40
  4. Step 4: Simplify right side
    42,029.40x = 1,343,563,084.98
  5. Step 5: Solve for x
    x = 1,343,563,084.98/42,029.40
  6. Step 6: Final answer
    x = 31,967.22

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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.