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Finding the Fourth Proportional to 31,894.64, 44,015.64 and 19,954.16

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Solution

The fourth proportional to 31,894.64, 44,015.64 and 19,954.16 is: 27,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.64 : 44,015.64 = 19,954.16 : x
  2. Step 2: Convert to fraction form
    31,894.64/44,015.64 = 19,954.16/x
  3. Step 3: Cross multiply
    31,894.64x = 44,015.64 × 19,954.16
  4. Step 4: Simplify right side
    31,894.64x = 878,295,123.06
  5. Step 5: Solve for x
    x = 878,295,123.06/31,894.64
  6. Step 6: Final answer
    x = 27,537.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.