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Finding the Fourth Proportional to 83,817.48, 115,668.96 and 46,092

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Solution

The fourth proportional to 83,817.48, 115,668.96 and 46,092 is: 63,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.48 : 115,668.96 = 46,092 : x
  2. Step 2: Convert to fraction form
    83,817.48/115,668.96 = 46,092/x
  3. Step 3: Cross multiply
    83,817.48x = 115,668.96 × 46,092
  4. Step 4: Simplify right side
    83,817.48x = 5,331,413,704.32
  5. Step 5: Solve for x
    x = 5,331,413,704.32/83,817.48
  6. Step 6: Final answer
    x = 63,607.42

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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.