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Finding the Fourth Proportional to 49,465, 68,261.70 and 27,108.52

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Solution

The fourth proportional to 49,465, 68,261.70 and 27,108.52 is: 37,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465 : 68,261.70 = 27,108.52 : x
  2. Step 2: Convert to fraction form
    49,465/68,261.70 = 27,108.52/x
  3. Step 3: Cross multiply
    49,465x = 68,261.70 × 27,108.52
  4. Step 4: Simplify right side
    49,465x = 1,850,473,659.68
  5. Step 5: Solve for x
    x = 1,850,473,659.68/49,465
  6. Step 6: Final answer
    x = 37,409.76

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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.