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Finding the Fourth Proportional to 42,021.86, 57,990.16 and 23,158.98

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Solution

The fourth proportional to 42,021.86, 57,990.16 and 23,158.98 is: 31,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,021.86 : 57,990.16 = 23,158.98 : x
  2. Step 2: Convert to fraction form
    42,021.86/57,990.16 = 23,158.98/x
  3. Step 3: Cross multiply
    42,021.86x = 57,990.16 × 23,158.98
  4. Step 4: Simplify right side
    42,021.86x = 1,342,993,158.51
  5. Step 5: Solve for x
    x = 1,342,993,158.51/42,021.86
  6. Step 6: Final answer
    x = 31,959.40

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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.