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Finding the Fourth Proportional to 52,404, 72,216.48 and 33,508.32

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Solution

The fourth proportional to 52,404, 72,216.48 and 33,508.32 is: 46,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,404 : 72,216.48 = 33,508.32 : x
  2. Step 2: Convert to fraction form
    52,404/72,216.48 = 33,508.32/x
  3. Step 3: Cross multiply
    52,404x = 72,216.48 × 33,508.32
  4. Step 4: Simplify right side
    52,404x = 2,419,852,921.11
  5. Step 5: Solve for x
    x = 2,419,852,921.11/52,404
  6. Step 6: Final answer
    x = 46,176.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.