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Finding the Fourth Proportional to 56,016, 83,994.30 and 16,567.65

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Solution

The fourth proportional to 56,016, 83,994.30 and 16,567.65 is: 24,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016 : 83,994.30 = 16,567.65 : x
  2. Step 2: Convert to fraction form
    56,016/83,994.30 = 16,567.65/x
  3. Step 3: Cross multiply
    56,016x = 83,994.30 × 16,567.65
  4. Step 4: Simplify right side
    56,016x = 1,391,588,164.40
  5. Step 5: Solve for x
    x = 1,391,588,164.40/56,016
  6. Step 6: Final answer
    x = 24,842.69

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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.