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Finding the Fourth Proportional to 49,064.58, 67,707.36 and 27,847.98

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Solution

The fourth proportional to 49,064.58, 67,707.36 and 27,847.98 is: 38,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064.58 : 67,707.36 = 27,847.98 : x
  2. Step 2: Convert to fraction form
    49,064.58/67,707.36 = 27,847.98/x
  3. Step 3: Cross multiply
    49,064.58x = 67,707.36 × 27,847.98
  4. Step 4: Simplify right side
    49,064.58x = 1,885,513,207.13
  5. Step 5: Solve for x
    x = 1,885,513,207.13/49,064.58
  6. Step 6: Final answer
    x = 38,429.21

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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.