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Finding the Fourth Proportional to 92,412.57, 127,529.25 and 49,971

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Solution

The fourth proportional to 92,412.57, 127,529.25 and 49,971 is: 68,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,412.57 : 127,529.25 = 49,971 : x
  2. Step 2: Convert to fraction form
    92,412.57/127,529.25 = 49,971/x
  3. Step 3: Cross multiply
    92,412.57x = 127,529.25 × 49,971
  4. Step 4: Simplify right side
    92,412.57x = 6,372,764,151.75
  5. Step 5: Solve for x
    x = 6,372,764,151.75/92,412.57
  6. Step 6: Final answer
    x = 68,959.93

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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.