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Finding the Fourth Proportional to 78,131.67, 107,821.98 and 42,321.57

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Solution

The fourth proportional to 78,131.67, 107,821.98 and 42,321.57 is: 58,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,131.67 : 107,821.98 = 42,321.57 : x
  2. Step 2: Convert to fraction form
    78,131.67/107,821.98 = 42,321.57/x
  3. Step 3: Cross multiply
    78,131.67x = 107,821.98 × 42,321.57
  4. Step 4: Simplify right side
    78,131.67x = 4,563,195,474.11
  5. Step 5: Solve for x
    x = 4,563,195,474.11/78,131.67
  6. Step 6: Final answer
    x = 58,403.92

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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.