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Finding the Fourth Proportional to 109,872.29, 164,845.79 and 46,689.86

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Solution

The fourth proportional to 109,872.29, 164,845.79 and 46,689.86 is: 70,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.29 : 164,845.79 = 46,689.86 : x
  2. Step 2: Convert to fraction form
    109,872.29/164,845.79 = 46,689.86/x
  3. Step 3: Cross multiply
    109,872.29x = 164,845.79 × 46,689.86
  4. Step 4: Simplify right side
    109,872.29x = 7,696,626,856.69
  5. Step 5: Solve for x
    x = 7,696,626,856.69/109,872.29
  6. Step 6: Final answer
    x = 70,050.66

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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.