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Finding the Fourth Proportional to 31,650.77, 47,434.23 and 16,827.77

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Solution

The fourth proportional to 31,650.77, 47,434.23 and 16,827.77 is: 25,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.77 : 47,434.23 = 16,827.77 : x
  2. Step 2: Convert to fraction form
    31,650.77/47,434.23 = 16,827.77/x
  3. Step 3: Cross multiply
    31,650.77x = 47,434.23 × 16,827.77
  4. Step 4: Simplify right side
    31,650.77x = 798,212,075.40
  5. Step 5: Solve for x
    x = 798,212,075.40/31,650.77
  6. Step 6: Final answer
    x = 25,219.36

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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.