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Finding the Fourth Proportional to 38,453.64, 57,696.12 and 19,724.28

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Solution

The fourth proportional to 38,453.64, 57,696.12 and 19,724.28 is: 29,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,453.64 : 57,696.12 = 19,724.28 : x
  2. Step 2: Convert to fraction form
    38,453.64/57,696.12 = 19,724.28/x
  3. Step 3: Cross multiply
    38,453.64x = 57,696.12 × 19,724.28
  4. Step 4: Simplify right side
    38,453.64x = 1,138,014,425.79
  5. Step 5: Solve for x
    x = 1,138,014,425.79/38,453.64
  6. Step 6: Final answer
    x = 29,594.45

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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.