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Finding the Fourth Proportional to 54,837, 82,255.95 and 13,284

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Solution

The fourth proportional to 54,837, 82,255.95 and 13,284 is: 19,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837 : 82,255.95 = 13,284 : x
  2. Step 2: Convert to fraction form
    54,837/82,255.95 = 13,284/x
  3. Step 3: Cross multiply
    54,837x = 82,255.95 × 13,284
  4. Step 4: Simplify right side
    54,837x = 1,092,688,039.80
  5. Step 5: Solve for x
    x = 1,092,688,039.80/54,837
  6. Step 6: Final answer
    x = 19,926.11

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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.