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Finding the Fourth Proportional to 52,539.52, 78,827.92 and 32,299.28

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Solution

The fourth proportional to 52,539.52, 78,827.92 and 32,299.28 is: 48,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,539.52 : 78,827.92 = 32,299.28 : x
  2. Step 2: Convert to fraction form
    52,539.52/78,827.92 = 32,299.28/x
  3. Step 3: Cross multiply
    52,539.52x = 78,827.92 × 32,299.28
  4. Step 4: Simplify right side
    52,539.52x = 2,546,085,059.90
  5. Step 5: Solve for x
    x = 2,546,085,059.90/52,539.52
  6. Step 6: Final answer
    x = 48,460.38

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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.