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Finding the Fourth Proportional to 31,587.40, 47,318.70 and 16,016.20

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Solution

The fourth proportional to 31,587.40, 47,318.70 and 16,016.20 is: 23,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.40 : 47,318.70 = 16,016.20 : x
  2. Step 2: Convert to fraction form
    31,587.40/47,318.70 = 16,016.20/x
  3. Step 3: Cross multiply
    31,587.40x = 47,318.70 × 16,016.20
  4. Step 4: Simplify right side
    31,587.40x = 757,865,762.94
  5. Step 5: Solve for x
    x = 757,865,762.94/31,587.40
  6. Step 6: Final answer
    x = 23,992.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.