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Finding the Fourth Proportional to 83,274.38, 114,920.46 and 45,548.63

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Solution

The fourth proportional to 83,274.38, 114,920.46 and 45,548.63 is: 62,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.38 : 114,920.46 = 45,548.63 : x
  2. Step 2: Convert to fraction form
    83,274.38/114,920.46 = 45,548.63/x
  3. Step 3: Cross multiply
    83,274.38x = 114,920.46 × 45,548.63
  4. Step 4: Simplify right side
    83,274.38x = 5,234,468,937.37
  5. Step 5: Solve for x
    x = 5,234,468,937.37/83,274.38
  6. Step 6: Final answer
    x = 62,858.10

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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.