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Finding the Fourth Proportional to 96,007.60, 144,006 and 29,447.54

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Solution

The fourth proportional to 96,007.60, 144,006 and 29,447.54 is: 44,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,007.60 : 144,006 = 29,447.54 : x
  2. Step 2: Convert to fraction form
    96,007.60/144,006 = 29,447.54/x
  3. Step 3: Cross multiply
    96,007.60x = 144,006 × 29,447.54
  4. Step 4: Simplify right side
    96,007.60x = 4,240,622,445.24
  5. Step 5: Solve for x
    x = 4,240,622,445.24/96,007.60
  6. Step 6: Final answer
    x = 44,169.65

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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.