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Finding the Fourth Proportional to 96,315.86, 144,437.87 and 33,118.11

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Solution

The fourth proportional to 96,315.86, 144,437.87 and 33,118.11 is: 49,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,315.86 : 144,437.87 = 33,118.11 : x
  2. Step 2: Convert to fraction form
    96,315.86/144,437.87 = 33,118.11/x
  3. Step 3: Cross multiply
    96,315.86x = 144,437.87 × 33,118.11
  4. Step 4: Simplify right side
    96,315.86x = 4,783,509,349.62
  5. Step 5: Solve for x
    x = 4,783,509,349.62/96,315.86
  6. Step 6: Final answer
    x = 49,664.81

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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.