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Finding the Fourth Proportional to 70,767.96, 106,064.46 and 35,717.64

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Solution

The fourth proportional to 70,767.96, 106,064.46 and 35,717.64 is: 53,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,767.96 : 106,064.46 = 35,717.64 : x
  2. Step 2: Convert to fraction form
    70,767.96/106,064.46 = 35,717.64/x
  3. Step 3: Cross multiply
    70,767.96x = 106,064.46 × 35,717.64
  4. Step 4: Simplify right side
    70,767.96x = 3,788,372,199.07
  5. Step 5: Solve for x
    x = 3,788,372,199.07/70,767.96
  6. Step 6: Final answer
    x = 53,532.31

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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.