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Finding the Fourth Proportional to 97,237, 134,183.70 and 54,793

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Solution

The fourth proportional to 97,237, 134,183.70 and 54,793 is: 75,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,237 : 134,183.70 = 54,793 : x
  2. Step 2: Convert to fraction form
    97,237/134,183.70 = 54,793/x
  3. Step 3: Cross multiply
    97,237x = 134,183.70 × 54,793
  4. Step 4: Simplify right side
    97,237x = 7,352,327,474.10
  5. Step 5: Solve for x
    x = 7,352,327,474.10/97,237
  6. Step 6: Final answer
    x = 75,612.45

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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.