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Finding the Fourth Proportional to 31,456.36, 47,200.86 and 13,938.28

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Solution

The fourth proportional to 31,456.36, 47,200.86 and 13,938.28 is: 20,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.36 : 47,200.86 = 13,938.28 : x
  2. Step 2: Convert to fraction form
    31,456.36/47,200.86 = 13,938.28/x
  3. Step 3: Cross multiply
    31,456.36x = 47,200.86 × 13,938.28
  4. Step 4: Simplify right side
    31,456.36x = 657,898,802.92
  5. Step 5: Solve for x
    x = 657,898,802.92/31,456.36
  6. Step 6: Final answer
    x = 20,914.65

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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.