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Finding the Fourth Proportional to 55,178.75, 76,141.40 and 30,974.16

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Solution

The fourth proportional to 55,178.75, 76,141.40 and 30,974.16 is: 42,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.75 : 76,141.40 = 30,974.16 : x
  2. Step 2: Convert to fraction form
    55,178.75/76,141.40 = 30,974.16/x
  3. Step 3: Cross multiply
    55,178.75x = 76,141.40 × 30,974.16
  4. Step 4: Simplify right side
    55,178.75x = 2,358,415,751.35
  5. Step 5: Solve for x
    x = 2,358,415,751.35/55,178.75
  6. Step 6: Final answer
    x = 42,741.38

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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.