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Finding the Fourth Proportional to 31,804.65, 47,706.98 and 10,744.75

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Solution

The fourth proportional to 31,804.65, 47,706.98 and 10,744.75 is: 16,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.65 : 47,706.98 = 10,744.75 : x
  2. Step 2: Convert to fraction form
    31,804.65/47,706.98 = 10,744.75/x
  3. Step 3: Cross multiply
    31,804.65x = 47,706.98 × 10,744.75
  4. Step 4: Simplify right side
    31,804.65x = 512,599,573.36
  5. Step 5: Solve for x
    x = 512,599,573.36/31,804.65
  6. Step 6: Final answer
    x = 16,117.13

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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.