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Finding the Fourth Proportional to 105,271.86, 157,917.71 and 29,375.43

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Solution

The fourth proportional to 105,271.86, 157,917.71 and 29,375.43 is: 44,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,271.86 : 157,917.71 = 29,375.43 : x
  2. Step 2: Convert to fraction form
    105,271.86/157,917.71 = 29,375.43/x
  3. Step 3: Cross multiply
    105,271.86x = 157,917.71 × 29,375.43
  4. Step 4: Simplify right side
    105,271.86x = 4,638,900,488.99
  5. Step 5: Solve for x
    x = 4,638,900,488.99/105,271.86
  6. Step 6: Final answer
    x = 44,065.91

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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.