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Finding the Fourth Proportional to 97,369, 134,370.24 and 54,352.54

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Solution

The fourth proportional to 97,369, 134,370.24 and 54,352.54 is: 75,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,369 : 134,370.24 = 54,352.54 : x
  2. Step 2: Convert to fraction form
    97,369/134,370.24 = 54,352.54/x
  3. Step 3: Cross multiply
    97,369x = 134,370.24 × 54,352.54
  4. Step 4: Simplify right side
    97,369x = 7,303,363,844.41
  5. Step 5: Solve for x
    x = 7,303,363,844.41/97,369
  6. Step 6: Final answer
    x = 75,007.07

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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.