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Finding the Fourth Proportional to 70,644.96, 105,898.32 and 33,734.88

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Solution

The fourth proportional to 70,644.96, 105,898.32 and 33,734.88 is: 50,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644.96 : 105,898.32 = 33,734.88 : x
  2. Step 2: Convert to fraction form
    70,644.96/105,898.32 = 33,734.88/x
  3. Step 3: Cross multiply
    70,644.96x = 105,898.32 × 33,734.88
  4. Step 4: Simplify right side
    70,644.96x = 3,572,467,117.40
  5. Step 5: Solve for x
    x = 3,572,467,117.40/70,644.96
  6. Step 6: Final answer
    x = 50,569.31

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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.