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Finding the Fourth Proportional to 70,034, 105,057.41 and 27,903.87

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Solution

The fourth proportional to 70,034, 105,057.41 and 27,903.87 is: 41,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034 : 105,057.41 = 27,903.87 : x
  2. Step 2: Convert to fraction form
    70,034/105,057.41 = 27,903.87/x
  3. Step 3: Cross multiply
    70,034x = 105,057.41 × 27,903.87
  4. Step 4: Simplify right side
    70,034x = 2,931,508,311.18
  5. Step 5: Solve for x
    x = 2,931,508,311.18/70,034
  6. Step 6: Final answer
    x = 41,858.36

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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.