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Finding the Fourth Proportional to 70,604.56, 105,875.74 and 33,175.28

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Solution

The fourth proportional to 70,604.56, 105,875.74 and 33,175.28 is: 49,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,604.56 : 105,875.74 = 33,175.28 : x
  2. Step 2: Convert to fraction form
    70,604.56/105,875.74 = 33,175.28/x
  3. Step 3: Cross multiply
    70,604.56x = 105,875.74 × 33,175.28
  4. Step 4: Simplify right side
    70,604.56x = 3,512,457,319.71
  5. Step 5: Solve for x
    x = 3,512,457,319.71/70,604.56
  6. Step 6: Final answer
    x = 49,748.31

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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.