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Finding the Fourth Proportional to 31,883.22, 47,822.32 and 9,696.56

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Solution

The fourth proportional to 31,883.22, 47,822.32 and 9,696.56 is: 14,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.22 : 47,822.32 = 9,696.56 : x
  2. Step 2: Convert to fraction form
    31,883.22/47,822.32 = 9,696.56/x
  3. Step 3: Cross multiply
    31,883.22x = 47,822.32 × 9,696.56
  4. Step 4: Simplify right side
    31,883.22x = 463,712,064.50
  5. Step 5: Solve for x
    x = 463,712,064.50/31,883.22
  6. Step 6: Final answer
    x = 14,544.08

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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.