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Finding the Fourth Proportional to 78,244.34, 107,977.24 and 42,434.34

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Solution

The fourth proportional to 78,244.34, 107,977.24 and 42,434.34 is: 58,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,244.34 : 107,977.24 = 42,434.34 : x
  2. Step 2: Convert to fraction form
    78,244.34/107,977.24 = 42,434.34/x
  3. Step 3: Cross multiply
    78,244.34x = 107,977.24 × 42,434.34
  4. Step 4: Simplify right side
    78,244.34x = 4,581,942,914.42
  5. Step 5: Solve for x
    x = 4,581,942,914.42/78,244.34
  6. Step 6: Final answer
    x = 58,559.42

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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.