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Finding the Fourth Proportional to 52,446.69, 78,668.01 and 13,004.15

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Solution

The fourth proportional to 52,446.69, 78,668.01 and 13,004.15 is: 19,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446.69 : 78,668.01 = 13,004.15 : x
  2. Step 2: Convert to fraction form
    52,446.69/78,668.01 = 13,004.15/x
  3. Step 3: Cross multiply
    52,446.69x = 78,668.01 × 13,004.15
  4. Step 4: Simplify right side
    52,446.69x = 1,023,010,208.90
  5. Step 5: Solve for x
    x = 1,023,010,208.90/52,446.69
  6. Step 6: Final answer
    x = 19,505.72

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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.