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Finding the Fourth Proportional to 32,732.56, 49,102.01 and 13,006.70

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Solution

The fourth proportional to 32,732.56, 49,102.01 and 13,006.70 is: 19,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.56 : 49,102.01 = 13,006.70 : x
  2. Step 2: Convert to fraction form
    32,732.56/49,102.01 = 13,006.70/x
  3. Step 3: Cross multiply
    32,732.56x = 49,102.01 × 13,006.70
  4. Step 4: Simplify right side
    32,732.56x = 638,655,108.99
  5. Step 5: Solve for x
    x = 638,655,108.99/32,732.56
  6. Step 6: Final answer
    x = 19,511.31

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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.