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Finding the Fourth Proportional to 42,005.96, 57,914.42 and 34,424.36

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Solution

The fourth proportional to 42,005.96, 57,914.42 and 34,424.36 is: 47,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.96 : 57,914.42 = 34,424.36 : x
  2. Step 2: Convert to fraction form
    42,005.96/57,914.42 = 34,424.36/x
  3. Step 3: Cross multiply
    42,005.96x = 57,914.42 × 34,424.36
  4. Step 4: Simplify right side
    42,005.96x = 1,993,666,843.27
  5. Step 5: Solve for x
    x = 1,993,666,843.27/42,005.96
  6. Step 6: Final answer
    x = 47,461.52

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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.