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Finding the Fourth Proportional to 96,683.57, 133,422.76 and 54,242

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Solution

The fourth proportional to 96,683.57, 133,422.76 and 54,242 is: 74,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,683.57 : 133,422.76 = 54,242 : x
  2. Step 2: Convert to fraction form
    96,683.57/133,422.76 = 54,242/x
  3. Step 3: Cross multiply
    96,683.57x = 133,422.76 × 54,242
  4. Step 4: Simplify right side
    96,683.57x = 7,237,117,347.92
  5. Step 5: Solve for x
    x = 7,237,117,347.92/96,683.57
  6. Step 6: Final answer
    x = 74,853.64

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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.