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Finding the Fourth Proportional to 32,741, 49,112.72 and 10,554.70

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Solution

The fourth proportional to 32,741, 49,112.72 and 10,554.70 is: 15,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741 : 49,112.72 = 10,554.70 : x
  2. Step 2: Convert to fraction form
    32,741/49,112.72 = 10,554.70/x
  3. Step 3: Cross multiply
    32,741x = 49,112.72 × 10,554.70
  4. Step 4: Simplify right side
    32,741x = 518,370,025.78
  5. Step 5: Solve for x
    x = 518,370,025.78/32,741
  6. Step 6: Final answer
    x = 15,832.44

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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.