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Finding the Fourth Proportional to 77,675.53, 107,191.21 and 43,684.00

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Solution

The fourth proportional to 77,675.53, 107,191.21 and 43,684.00 is: 60,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675.53 : 107,191.21 = 43,684.00 : x
  2. Step 2: Convert to fraction form
    77,675.53/107,191.21 = 43,684.00/x
  3. Step 3: Cross multiply
    77,675.53x = 107,191.21 × 43,684.00
  4. Step 4: Simplify right side
    77,675.53x = 4,682,541,125.31
  5. Step 5: Solve for x
    x = 4,682,541,125.31/77,675.53
  6. Step 6: Final answer
    x = 60,283.35

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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.