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Finding the Fourth Proportional to 70,065.38, 105,101.70 and 17,475.32

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Solution

The fourth proportional to 70,065.38, 105,101.70 and 17,475.32 is: 26,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,065.38 : 105,101.70 = 17,475.32 : x
  2. Step 2: Convert to fraction form
    70,065.38/105,101.70 = 17,475.32/x
  3. Step 3: Cross multiply
    70,065.38x = 105,101.70 × 17,475.32
  4. Step 4: Simplify right side
    70,065.38x = 1,836,685,314.54
  5. Step 5: Solve for x
    x = 1,836,685,314.54/70,065.38
  6. Step 6: Final answer
    x = 26,213.88

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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.