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Finding the Fourth Proportional to 54,855, 82,282.77 and 13,302

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Solution

The fourth proportional to 54,855, 82,282.77 and 13,302 is: 19,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855 : 82,282.77 = 13,302 : x
  2. Step 2: Convert to fraction form
    54,855/82,282.77 = 13,302/x
  3. Step 3: Cross multiply
    54,855x = 82,282.77 × 13,302
  4. Step 4: Simplify right side
    54,855x = 1,094,525,406.54
  5. Step 5: Solve for x
    x = 1,094,525,406.54/54,855
  6. Step 6: Final answer
    x = 19,953.07

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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.