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Finding the Fourth Proportional to 70,936.30, 97,891.74 and 39,105.16

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Solution

The fourth proportional to 70,936.30, 97,891.74 and 39,105.16 is: 53,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,936.30 : 97,891.74 = 39,105.16 : x
  2. Step 2: Convert to fraction form
    70,936.30/97,891.74 = 39,105.16/x
  3. Step 3: Cross multiply
    70,936.30x = 97,891.74 × 39,105.16
  4. Step 4: Simplify right side
    70,936.30x = 3,828,072,155.38
  5. Step 5: Solve for x
    x = 3,828,072,155.38/70,936.30
  6. Step 6: Final answer
    x = 53,964.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.