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Finding the Fourth Proportional to 70,034.26, 105,057.81 and 27,904.12

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Solution

The fourth proportional to 70,034.26, 105,057.81 and 27,904.12 is: 41,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034.26 : 105,057.81 = 27,904.12 : x
  2. Step 2: Convert to fraction form
    70,034.26/105,057.81 = 27,904.12/x
  3. Step 3: Cross multiply
    70,034.26x = 105,057.81 × 27,904.12
  4. Step 4: Simplify right side
    70,034.26x = 2,931,545,737.18
  5. Step 5: Solve for x
    x = 2,931,545,737.18/70,034.26
  6. Step 6: Final answer
    x = 41,858.74

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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.