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Finding the Fourth Proportional to 31,557.70, 47,328.42 and 9,365.80

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Solution

The fourth proportional to 31,557.70, 47,328.42 and 9,365.80 is: 14,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.70 : 47,328.42 = 9,365.80 : x
  2. Step 2: Convert to fraction form
    31,557.70/47,328.42 = 9,365.80/x
  3. Step 3: Cross multiply
    31,557.70x = 47,328.42 × 9,365.80
  4. Step 4: Simplify right side
    31,557.70x = 443,268,516.04
  5. Step 5: Solve for x
    x = 443,268,516.04/31,557.70
  6. Step 6: Final answer
    x = 14,046.29

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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.