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Finding the Fourth Proportional to 43,854.52, 65,807.70 and 16,171.96

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Solution

The fourth proportional to 43,854.52, 65,807.70 and 16,171.96 is: 24,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854.52 : 65,807.70 = 16,171.96 : x
  2. Step 2: Convert to fraction form
    43,854.52/65,807.70 = 16,171.96/x
  3. Step 3: Cross multiply
    43,854.52x = 65,807.70 × 16,171.96
  4. Step 4: Simplify right side
    43,854.52x = 1,064,239,492.09
  5. Step 5: Solve for x
    x = 1,064,239,492.09/43,854.52
  6. Step 6: Final answer
    x = 24,267.50

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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.