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Finding the Fourth Proportional to 58,692.56, 80,995.26 and 31,835

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Solution

The fourth proportional to 58,692.56, 80,995.26 and 31,835 is: 43,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,692.56 : 80,995.26 = 31,835 : x
  2. Step 2: Convert to fraction form
    58,692.56/80,995.26 = 31,835/x
  3. Step 3: Cross multiply
    58,692.56x = 80,995.26 × 31,835
  4. Step 4: Simplify right side
    58,692.56x = 2,578,484,102.10
  5. Step 5: Solve for x
    x = 2,578,484,102.10/58,692.56
  6. Step 6: Final answer
    x = 43,932.04

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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.