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Finding the Fourth Proportional to 53,002, 79,503.14 and 16,066

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Solution

The fourth proportional to 53,002, 79,503.14 and 16,066 is: 24,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002 : 79,503.14 = 16,066 : x
  2. Step 2: Convert to fraction form
    53,002/79,503.14 = 16,066/x
  3. Step 3: Cross multiply
    53,002x = 79,503.14 × 16,066
  4. Step 4: Simplify right side
    53,002x = 1,277,297,366.91
  5. Step 5: Solve for x
    x = 1,277,297,366.91/53,002
  6. Step 6: Final answer
    x = 24,099.04

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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.