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Finding the Fourth Proportional to 71,009.38, 97,988.52 and 39,178.54

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Solution

The fourth proportional to 71,009.38, 97,988.52 and 39,178.54 is: 54,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.38 : 97,988.52 = 39,178.54 : x
  2. Step 2: Convert to fraction form
    71,009.38/97,988.52 = 39,178.54/x
  3. Step 3: Cross multiply
    71,009.38x = 97,988.52 × 39,178.54
  4. Step 4: Simplify right side
    71,009.38x = 3,839,047,150.36
  5. Step 5: Solve for x
    x = 3,839,047,150.36/71,009.38
  6. Step 6: Final answer
    x = 54,063.94

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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.