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Finding the Fourth Proportional to 32,647.62, 48,975.11 and 10,453.22

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Solution

The fourth proportional to 32,647.62, 48,975.11 and 10,453.22 is: 15,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.62 : 48,975.11 = 10,453.22 : x
  2. Step 2: Convert to fraction form
    32,647.62/48,975.11 = 10,453.22/x
  3. Step 3: Cross multiply
    32,647.62x = 48,975.11 × 10,453.22
  4. Step 4: Simplify right side
    32,647.62x = 511,947,302.21
  5. Step 5: Solve for x
    x = 511,947,302.21/32,647.62
  6. Step 6: Final answer
    x = 15,681.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.