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Finding the Fourth Proportional to 83,149.39, 114,743.75 and 45,423.64

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Solution

The fourth proportional to 83,149.39, 114,743.75 and 45,423.64 is: 62,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.39 : 114,743.75 = 45,423.64 : x
  2. Step 2: Convert to fraction form
    83,149.39/114,743.75 = 45,423.64/x
  3. Step 3: Cross multiply
    83,149.39x = 114,743.75 × 45,423.64
  4. Step 4: Simplify right side
    83,149.39x = 5,212,078,792.25
  5. Step 5: Solve for x
    x = 5,212,078,792.25/83,149.39
  6. Step 6: Final answer
    x = 62,683.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.