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Finding the Fourth Proportional to 100,594.10, 150,914.51 and 29,513.86

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Solution

The fourth proportional to 100,594.10, 150,914.51 and 29,513.86 is: 44,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,594.10 : 150,914.51 = 29,513.86 : x
  2. Step 2: Convert to fraction form
    100,594.10/150,914.51 = 29,513.86/x
  3. Step 3: Cross multiply
    100,594.10x = 150,914.51 × 29,513.86
  4. Step 4: Simplify right side
    100,594.10x = 4,454,070,320.84
  5. Step 5: Solve for x
    x = 4,454,070,320.84/100,594.10
  6. Step 6: Final answer
    x = 44,277.65

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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.