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Finding the Fourth Proportional to 78,131.43, 107,821.31 and 42,321.38

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Solution

The fourth proportional to 78,131.43, 107,821.31 and 42,321.38 is: 58,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131.43 : 107,821.31 = 42,321.38 : x
  2. Step 2: Convert to fraction form
    78,131.43/107,821.31 = 42,321.38/x
  3. Step 3: Cross multiply
    78,131.43x = 107,821.31 × 42,321.38
  4. Step 4: Simplify right side
    78,131.43x = 4,563,145,881.89
  5. Step 5: Solve for x
    x = 4,563,145,881.89/78,131.43
  6. Step 6: Final answer
    x = 58,403.46

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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.