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Finding the Fourth Proportional to 43,965.94, 65,948 and 10,686.20

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Solution

The fourth proportional to 43,965.94, 65,948 and 10,686.20 is: 16,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965.94 : 65,948 = 10,686.20 : x
  2. Step 2: Convert to fraction form
    43,965.94/65,948 = 10,686.20/x
  3. Step 3: Cross multiply
    43,965.94x = 65,948 × 10,686.20
  4. Step 4: Simplify right side
    43,965.94x = 704,733,517.60
  5. Step 5: Solve for x
    x = 704,733,517.60/43,965.94
  6. Step 6: Final answer
    x = 16,029.08

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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.