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Finding the Fourth Proportional to 52,174.40, 78,253.60 and 17,114.08

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Solution

The fourth proportional to 52,174.40, 78,253.60 and 17,114.08 is: 25,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174.40 : 78,253.60 = 17,114.08 : x
  2. Step 2: Convert to fraction form
    52,174.40/78,253.60 = 17,114.08/x
  3. Step 3: Cross multiply
    52,174.40x = 78,253.60 × 17,114.08
  4. Step 4: Simplify right side
    52,174.40x = 1,339,238,370.69
  5. Step 5: Solve for x
    x = 1,339,238,370.69/52,174.40
  6. Step 6: Final answer
    x = 25,668.50

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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.