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Finding the Fourth Proportional to 31,888.26, 47,837.62 and 9,696.49

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Solution

The fourth proportional to 31,888.26, 47,837.62 and 9,696.49 is: 14,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.26 : 47,837.62 = 9,696.49 : x
  2. Step 2: Convert to fraction form
    31,888.26/47,837.62 = 9,696.49/x
  3. Step 3: Cross multiply
    31,888.26x = 47,837.62 × 9,696.49
  4. Step 4: Simplify right side
    31,888.26x = 463,857,003.95
  5. Step 5: Solve for x
    x = 463,857,003.95/31,888.26
  6. Step 6: Final answer
    x = 14,546.33

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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.