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Finding the Fourth Proportional to 83,950.08, 115,851 and 46,224

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Solution

The fourth proportional to 83,950.08, 115,851 and 46,224 is: 63,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950.08 : 115,851 = 46,224 : x
  2. Step 2: Convert to fraction form
    83,950.08/115,851 = 46,224/x
  3. Step 3: Cross multiply
    83,950.08x = 115,851 × 46,224
  4. Step 4: Simplify right side
    83,950.08x = 5,355,096,624
  5. Step 5: Solve for x
    x = 5,355,096,624/83,950.08
  6. Step 6: Final answer
    x = 63,789.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.