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Finding the Fourth Proportional to 31,965.99, 47,947.24 and 9,779.36

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Solution

The fourth proportional to 31,965.99, 47,947.24 and 9,779.36 is: 14,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.99 : 47,947.24 = 9,779.36 : x
  2. Step 2: Convert to fraction form
    31,965.99/47,947.24 = 9,779.36/x
  3. Step 3: Cross multiply
    31,965.99x = 47,947.24 × 9,779.36
  4. Step 4: Simplify right side
    31,965.99x = 468,893,093.45
  5. Step 5: Solve for x
    x = 468,893,093.45/31,965.99
  6. Step 6: Final answer
    x = 14,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.