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Finding the Fourth Proportional to 31,969, 44,120.50 and 19,226.36

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Solution

The fourth proportional to 31,969, 44,120.50 and 19,226.36 is: 26,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969 : 44,120.50 = 19,226.36 : x
  2. Step 2: Convert to fraction form
    31,969/44,120.50 = 19,226.36/x
  3. Step 3: Cross multiply
    31,969x = 44,120.50 × 19,226.36
  4. Step 4: Simplify right side
    31,969x = 848,276,616.38
  5. Step 5: Solve for x
    x = 848,276,616.38/31,969
  6. Step 6: Final answer
    x = 26,534.35

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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.