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Finding the Fourth Proportional to 33,038.31, 45,529.92 and 32,431

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Solution

The fourth proportional to 33,038.31, 45,529.92 and 32,431 is: 44,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.31 : 45,529.92 = 32,431 : x
  2. Step 2: Convert to fraction form
    33,038.31/45,529.92 = 32,431/x
  3. Step 3: Cross multiply
    33,038.31x = 45,529.92 × 32,431
  4. Step 4: Simplify right side
    33,038.31x = 1,476,580,835.52
  5. Step 5: Solve for x
    x = 1,476,580,835.52/33,038.31
  6. Step 6: Final answer
    x = 44,692.99

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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.