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Finding the Fourth Proportional to 54,850, 82,275.48 and 13,297

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Solution

The fourth proportional to 54,850, 82,275.48 and 13,297 is: 19,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850 : 82,275.48 = 13,297 : x
  2. Step 2: Convert to fraction form
    54,850/82,275.48 = 13,297/x
  3. Step 3: Cross multiply
    54,850x = 82,275.48 × 13,297
  4. Step 4: Simplify right side
    54,850x = 1,094,017,057.56
  5. Step 5: Solve for x
    x = 1,094,017,057.56/54,850
  6. Step 6: Final answer
    x = 19,945.62

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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.