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Finding the Fourth Proportional to 96,368.31, 144,469.32 and 46,379.64

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Solution

The fourth proportional to 96,368.31, 144,469.32 and 46,379.64 is: 69,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,368.31 : 144,469.32 = 46,379.64 : x
  2. Step 2: Convert to fraction form
    96,368.31/144,469.32 = 46,379.64/x
  3. Step 3: Cross multiply
    96,368.31x = 144,469.32 × 46,379.64
  4. Step 4: Simplify right side
    96,368.31x = 6,700,435,052.64
  5. Step 5: Solve for x
    x = 6,700,435,052.64/96,368.31
  6. Step 6: Final answer
    x = 69,529.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.