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Finding the Fourth Proportional to 31,038.56, 42,834.12 and 16,892.32

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Solution

The fourth proportional to 31,038.56, 42,834.12 and 16,892.32 is: 23,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.56 : 42,834.12 = 16,892.32 : x
  2. Step 2: Convert to fraction form
    31,038.56/42,834.12 = 16,892.32/x
  3. Step 3: Cross multiply
    31,038.56x = 42,834.12 × 16,892.32
  4. Step 4: Simplify right side
    31,038.56x = 723,567,661.96
  5. Step 5: Solve for x
    x = 723,567,661.96/31,038.56
  6. Step 6: Final answer
    x = 23,311.90

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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.