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Finding the Fourth Proportional to 31,000.32, 42,780.32 and 16,853.20

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Solution

The fourth proportional to 31,000.32, 42,780.32 and 16,853.20 is: 23,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.32 : 42,780.32 = 16,853.20 : x
  2. Step 2: Convert to fraction form
    31,000.32/42,780.32 = 16,853.20/x
  3. Step 3: Cross multiply
    31,000.32x = 42,780.32 × 16,853.20
  4. Step 4: Simplify right side
    31,000.32x = 720,985,289.02
  5. Step 5: Solve for x
    x = 720,985,289.02/31,000.32
  6. Step 6: Final answer
    x = 23,257.35

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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.