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Finding the Fourth Proportional to 31,969.84, 47,952.99 and 9,783.22

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Solution

The fourth proportional to 31,969.84, 47,952.99 and 9,783.22 is: 14,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.84 : 47,952.99 = 9,783.22 : x
  2. Step 2: Convert to fraction form
    31,969.84/47,952.99 = 9,783.22/x
  3. Step 3: Cross multiply
    31,969.84x = 47,952.99 × 9,783.22
  4. Step 4: Simplify right side
    31,969.84x = 469,134,650.83
  5. Step 5: Solve for x
    x = 469,134,650.83/31,969.84
  6. Step 6: Final answer
    x = 14,674.29

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Double scale
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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.