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Finding the Fourth Proportional to 51,464.68, 71,016.24 and 28,802.32

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Solution

The fourth proportional to 51,464.68, 71,016.24 and 28,802.32 is: 39,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.68 : 71,016.24 = 28,802.32 : x
  2. Step 2: Convert to fraction form
    51,464.68/71,016.24 = 28,802.32/x
  3. Step 3: Cross multiply
    51,464.68x = 71,016.24 × 28,802.32
  4. Step 4: Simplify right side
    51,464.68x = 2,045,432,469.68
  5. Step 5: Solve for x
    x = 2,045,432,469.68/51,464.68
  6. Step 6: Final answer
    x = 39,744.39

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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.