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Finding the Fourth Proportional to 51,220.37, 70,688.77 and 31,082.37

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Solution

The fourth proportional to 51,220.37, 70,688.77 and 31,082.37 is: 42,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220.37 : 70,688.77 = 31,082.37 : x
  2. Step 2: Convert to fraction form
    51,220.37/70,688.77 = 31,082.37/x
  3. Step 3: Cross multiply
    51,220.37x = 70,688.77 × 31,082.37
  4. Step 4: Simplify right side
    51,220.37x = 2,197,174,426.28
  5. Step 5: Solve for x
    x = 2,197,174,426.28/51,220.37
  6. Step 6: Final answer
    x = 42,896.50

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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.