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Finding the Fourth Proportional to 52,900, 79,352.16 and 15,964

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Solution

The fourth proportional to 52,900, 79,352.16 and 15,964 is: 23,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900 : 79,352.16 = 15,964 : x
  2. Step 2: Convert to fraction form
    52,900/79,352.16 = 15,964/x
  3. Step 3: Cross multiply
    52,900x = 79,352.16 × 15,964
  4. Step 4: Simplify right side
    52,900x = 1,266,777,882.24
  5. Step 5: Solve for x
    x = 1,266,777,882.24/52,900
  6. Step 6: Final answer
    x = 23,946.65

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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.