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Finding the Fourth Proportional to 48,208, 72,237.36 and 33,446.08

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Solution

The fourth proportional to 48,208, 72,237.36 and 33,446.08 is: 50,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208 : 72,237.36 = 33,446.08 : x
  2. Step 2: Convert to fraction form
    48,208/72,237.36 = 33,446.08/x
  3. Step 3: Cross multiply
    48,208x = 72,237.36 × 33,446.08
  4. Step 4: Simplify right side
    48,208x = 2,416,056,521.55
  5. Step 5: Solve for x
    x = 2,416,056,521.55/48,208
  6. Step 6: Final answer
    x = 50,117.34

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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.