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Finding the Fourth Proportional to 38,207, 57,275.94 and 19,476.56

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Solution

The fourth proportional to 38,207, 57,275.94 and 19,476.56 is: 29,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207 : 57,275.94 = 19,476.56 : x
  2. Step 2: Convert to fraction form
    38,207/57,275.94 = 19,476.56/x
  3. Step 3: Cross multiply
    38,207x = 57,275.94 × 19,476.56
  4. Step 4: Simplify right side
    38,207x = 1,115,538,281.97
  5. Step 5: Solve for x
    x = 1,115,538,281.97/38,207
  6. Step 6: Final answer
    x = 29,197.22

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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.