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Finding the Fourth Proportional to 52,066.54, 78,107.44 and 16,516

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Solution

The fourth proportional to 52,066.54, 78,107.44 and 16,516 is: 24,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,066.54 : 78,107.44 = 16,516 : x
  2. Step 2: Convert to fraction form
    52,066.54/78,107.44 = 16,516/x
  3. Step 3: Cross multiply
    52,066.54x = 78,107.44 × 16,516
  4. Step 4: Simplify right side
    52,066.54x = 1,290,022,479.04
  5. Step 5: Solve for x
    x = 1,290,022,479.04/52,066.54
  6. Step 6: Final answer
    x = 24,776.42

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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.