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Finding the Fourth Proportional to 31,969.62, 47,952.68 and 9,782.98

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Solution

The fourth proportional to 31,969.62, 47,952.68 and 9,782.98 is: 14,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.62 : 47,952.68 = 9,782.98 : x
  2. Step 2: Convert to fraction form
    31,969.62/47,952.68 = 9,782.98/x
  3. Step 3: Cross multiply
    31,969.62x = 47,952.68 × 9,782.98
  4. Step 4: Simplify right side
    31,969.62x = 469,119,940.59
  5. Step 5: Solve for x
    x = 469,119,940.59/31,969.62
  6. Step 6: Final answer
    x = 14,673.93

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1.5x scale

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.