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Finding the Fourth Proportional to 52,604, 78,919.68 and 15,668

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Solution

The fourth proportional to 52,604, 78,919.68 and 15,668 is: 23,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,604 : 78,919.68 = 15,668 : x
  2. Step 2: Convert to fraction form
    52,604/78,919.68 = 15,668/x
  3. Step 3: Cross multiply
    52,604x = 78,919.68 × 15,668
  4. Step 4: Simplify right side
    52,604x = 1,236,513,546.24
  5. Step 5: Solve for x
    x = 1,236,513,546.24/52,604
  6. Step 6: Final answer
    x = 23,506.07

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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.