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Finding the Fourth Proportional to 31,858.51, 47,757.91 and 10,783.80

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Solution

The fourth proportional to 31,858.51, 47,757.91 and 10,783.80 is: 16,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.51 : 47,757.91 = 10,783.80 : x
  2. Step 2: Convert to fraction form
    31,858.51/47,757.91 = 10,783.80/x
  3. Step 3: Cross multiply
    31,858.51x = 47,757.91 × 10,783.80
  4. Step 4: Simplify right side
    31,858.51x = 515,011,749.86
  5. Step 5: Solve for x
    x = 515,011,749.86/31,858.51
  6. Step 6: Final answer
    x = 16,165.60

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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.