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Finding the Fourth Proportional to 31,040.32, 42,835.86 and 16,893.16

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Solution

The fourth proportional to 31,040.32, 42,835.86 and 16,893.16 is: 23,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.32 : 42,835.86 = 16,893.16 : x
  2. Step 2: Convert to fraction form
    31,040.32/42,835.86 = 16,893.16/x
  3. Step 3: Cross multiply
    31,040.32x = 42,835.86 × 16,893.16
  4. Step 4: Simplify right side
    31,040.32x = 723,633,036.72
  5. Step 5: Solve for x
    x = 723,633,036.72/31,040.32
  6. Step 6: Final answer
    x = 23,312.68

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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.