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Finding the Fourth Proportional to 32,387.52, 48,576 and 9,008.64

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Solution

The fourth proportional to 32,387.52, 48,576 and 9,008.64 is: 13,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.52 : 48,576 = 9,008.64 : x
  2. Step 2: Convert to fraction form
    32,387.52/48,576 = 9,008.64/x
  3. Step 3: Cross multiply
    32,387.52x = 48,576 × 9,008.64
  4. Step 4: Simplify right side
    32,387.52x = 437,603,696.64
  5. Step 5: Solve for x
    x = 437,603,696.64/32,387.52
  6. Step 6: Final answer
    x = 13,511.49

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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.