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Finding the Fourth Proportional to 52,160.52, 78,240.54 and 14,720.52

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Solution

The fourth proportional to 52,160.52, 78,240.54 and 14,720.52 is: 22,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160.52 : 78,240.54 = 14,720.52 : x
  2. Step 2: Convert to fraction form
    52,160.52/78,240.54 = 14,720.52/x
  3. Step 3: Cross multiply
    52,160.52x = 78,240.54 × 14,720.52
  4. Step 4: Simplify right side
    52,160.52x = 1,151,741,433.88
  5. Step 5: Solve for x
    x = 1,151,741,433.88/52,160.52
  6. Step 6: Final answer
    x = 22,080.71

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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.