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Finding the Fourth Proportional to 49,045.42, 67,680.64 and 27,828.70

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Solution

The fourth proportional to 49,045.42, 67,680.64 and 27,828.70 is: 38,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045.42 : 67,680.64 = 27,828.70 : x
  2. Step 2: Convert to fraction form
    49,045.42/67,680.64 = 27,828.70/x
  3. Step 3: Cross multiply
    49,045.42x = 67,680.64 × 27,828.70
  4. Step 4: Simplify right side
    49,045.42x = 1,883,464,226.37
  5. Step 5: Solve for x
    x = 1,883,464,226.37/49,045.42
  6. Step 6: Final answer
    x = 38,402.45

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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.