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Finding the Fourth Proportional to 31,967.68, 44,115.42 and 19,228

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Solution

The fourth proportional to 31,967.68, 44,115.42 and 19,228 is: 26,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.68 : 44,115.42 = 19,228 : x
  2. Step 2: Convert to fraction form
    31,967.68/44,115.42 = 19,228/x
  3. Step 3: Cross multiply
    31,967.68x = 44,115.42 × 19,228
  4. Step 4: Simplify right side
    31,967.68x = 848,251,295.76
  5. Step 5: Solve for x
    x = 848,251,295.76/31,967.68
  6. Step 6: Final answer
    x = 26,534.65

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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.