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Finding the Fourth Proportional to 54,894, 82,348.80 and 16,946.46

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Solution

The fourth proportional to 54,894, 82,348.80 and 16,946.46 is: 25,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894 : 82,348.80 = 16,946.46 : x
  2. Step 2: Convert to fraction form
    54,894/82,348.80 = 16,946.46/x
  3. Step 3: Cross multiply
    54,894x = 82,348.80 × 16,946.46
  4. Step 4: Simplify right side
    54,894x = 1,395,520,645.25
  5. Step 5: Solve for x
    x = 1,395,520,645.25/54,894
  6. Step 6: Final answer
    x = 25,422.10

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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.