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Finding the Fourth Proportional to 92,412.48, 127,471.68 and 54,660

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Solution

The fourth proportional to 92,412.48, 127,471.68 and 54,660 is: 75,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,412.48 : 127,471.68 = 54,660 : x
  2. Step 2: Convert to fraction form
    92,412.48/127,471.68 = 54,660/x
  3. Step 3: Cross multiply
    92,412.48x = 127,471.68 × 54,660
  4. Step 4: Simplify right side
    92,412.48x = 6,967,602,028.80
  5. Step 5: Solve for x
    x = 6,967,602,028.80/92,412.48
  6. Step 6: Final answer
    x = 75,396.76

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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.