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Finding the Fourth Proportional to 54,988.50, 75,884.13 and 29,838

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Solution

The fourth proportional to 54,988.50, 75,884.13 and 29,838 is: 41,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,988.50 : 75,884.13 = 29,838 : x
  2. Step 2: Convert to fraction form
    54,988.50/75,884.13 = 29,838/x
  3. Step 3: Cross multiply
    54,988.50x = 75,884.13 × 29,838
  4. Step 4: Simplify right side
    54,988.50x = 2,264,230,670.94
  5. Step 5: Solve for x
    x = 2,264,230,670.94/54,988.50
  6. Step 6: Final answer
    x = 41,176.44

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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.