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Finding the Fourth Proportional to 30,398.73, 41,917.19 and 19,768.65

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Solution

The fourth proportional to 30,398.73, 41,917.19 and 19,768.65 is: 27,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.73 : 41,917.19 = 19,768.65 : x
  2. Step 2: Convert to fraction form
    30,398.73/41,917.19 = 19,768.65/x
  3. Step 3: Cross multiply
    30,398.73x = 41,917.19 × 19,768.65
  4. Step 4: Simplify right side
    30,398.73x = 828,646,159.25
  5. Step 5: Solve for x
    x = 828,646,159.25/30,398.73
  6. Step 6: Final answer
    x = 27,259.24

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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.