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Finding the Fourth Proportional to 53,462, 73,692.56 and 42,113.54

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Solution

The fourth proportional to 53,462, 73,692.56 and 42,113.54 is: 58,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 73,692.56 = 42,113.54 : x
  2. Step 2: Convert to fraction form
    53,462/73,692.56 = 42,113.54/x
  3. Step 3: Cross multiply
    53,462x = 73,692.56 × 42,113.54
  4. Step 4: Simplify right side
    53,462x = 3,103,454,573.26
  5. Step 5: Solve for x
    x = 3,103,454,573.26/53,462
  6. Step 6: Final answer
    x = 58,049.73

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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.