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Finding the Fourth Proportional to 83,971.13, 115,885.41 and 46,245.38

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Solution

The fourth proportional to 83,971.13, 115,885.41 and 46,245.38 is: 63,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.13 : 115,885.41 = 46,245.38 : x
  2. Step 2: Convert to fraction form
    83,971.13/115,885.41 = 46,245.38/x
  3. Step 3: Cross multiply
    83,971.13x = 115,885.41 × 46,245.38
  4. Step 4: Simplify right side
    83,971.13x = 5,359,164,821.91
  5. Step 5: Solve for x
    x = 5,359,164,821.91/83,971.13
  6. Step 6: Final answer
    x = 63,821.52

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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.