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Finding the Fourth Proportional to 97,370.38, 134,383.08 and 54,928

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Solution

The fourth proportional to 97,370.38, 134,383.08 and 54,928 is: 75,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.38 : 134,383.08 = 54,928 : x
  2. Step 2: Convert to fraction form
    97,370.38/134,383.08 = 54,928/x
  3. Step 3: Cross multiply
    97,370.38x = 134,383.08 × 54,928
  4. Step 4: Simplify right side
    97,370.38x = 7,381,393,818.24
  5. Step 5: Solve for x
    x = 7,381,393,818.24/97,370.38
  6. Step 6: Final answer
    x = 75,807.38

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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.