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Finding the Fourth Proportional to 72,894.34, 109,285.62 and 33,423.04

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Solution

The fourth proportional to 72,894.34, 109,285.62 and 33,423.04 is: 50,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,894.34 : 109,285.62 = 33,423.04 : x
  2. Step 2: Convert to fraction form
    72,894.34/109,285.62 = 33,423.04/x
  3. Step 3: Cross multiply
    72,894.34x = 109,285.62 × 33,423.04
  4. Step 4: Simplify right side
    72,894.34x = 3,652,657,648.68
  5. Step 5: Solve for x
    x = 3,652,657,648.68/72,894.34
  6. Step 6: Final answer
    x = 50,108.93

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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.