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Finding the Fourth Proportional to 92,620.48, 127,758.72 and 54,868

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Solution

The fourth proportional to 92,620.48, 127,758.72 and 54,868 is: 75,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,620.48 : 127,758.72 = 54,868 : x
  2. Step 2: Convert to fraction form
    92,620.48/127,758.72 = 54,868/x
  3. Step 3: Cross multiply
    92,620.48x = 127,758.72 × 54,868
  4. Step 4: Simplify right side
    92,620.48x = 7,009,865,448.96
  5. Step 5: Solve for x
    x = 7,009,865,448.96/92,620.48
  6. Step 6: Final answer
    x = 75,683.75

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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.