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Finding the Fourth Proportional to 96,139.92, 144,185.54 and 28,656.38

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Solution

The fourth proportional to 96,139.92, 144,185.54 and 28,656.38 is: 42,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139.92 : 144,185.54 = 28,656.38 : x
  2. Step 2: Convert to fraction form
    96,139.92/144,185.54 = 28,656.38/x
  3. Step 3: Cross multiply
    96,139.92x = 144,185.54 × 28,656.38
  4. Step 4: Simplify right side
    96,139.92x = 4,131,835,624.75
  5. Step 5: Solve for x
    x = 4,131,835,624.75/96,139.92
  6. Step 6: Final answer
    x = 42,977.31

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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.