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Finding the Fourth Proportional to 31,814.37, 47,730.30 and 14,059.29

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Solution

The fourth proportional to 31,814.37, 47,730.30 and 14,059.29 is: 21,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.37 : 47,730.30 = 14,059.29 : x
  2. Step 2: Convert to fraction form
    31,814.37/47,730.30 = 14,059.29/x
  3. Step 3: Cross multiply
    31,814.37x = 47,730.30 × 14,059.29
  4. Step 4: Simplify right side
    31,814.37x = 671,054,129.49
  5. Step 5: Solve for x
    x = 671,054,129.49/31,814.37
  6. Step 6: Final answer
    x = 21,092.80

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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.