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Finding the Fourth Proportional to 56,480.28, 84,652 and 31,493.76

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Solution

The fourth proportional to 56,480.28, 84,652 and 31,493.76 is: 47,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,480.28 : 84,652 = 31,493.76 : x
  2. Step 2: Convert to fraction form
    56,480.28/84,652 = 31,493.76/x
  3. Step 3: Cross multiply
    56,480.28x = 84,652 × 31,493.76
  4. Step 4: Simplify right side
    56,480.28x = 2,666,009,771.52
  5. Step 5: Solve for x
    x = 2,666,009,771.52/56,480.28
  6. Step 6: Final answer
    x = 47,202.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.