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Finding the Fourth Proportional to 77,862, 107,450.76 and 46,033.86

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Solution

The fourth proportional to 77,862, 107,450.76 and 46,033.86 is: 63,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,862 : 107,450.76 = 46,033.86 : x
  2. Step 2: Convert to fraction form
    77,862/107,450.76 = 46,033.86/x
  3. Step 3: Cross multiply
    77,862x = 107,450.76 × 46,033.86
  4. Step 4: Simplify right side
    77,862x = 4,946,373,242.73
  5. Step 5: Solve for x
    x = 4,946,373,242.73/77,862
  6. Step 6: Final answer
    x = 63,527.44

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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.