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Finding the Fourth Proportional to 52,516.94, 78,775.43 and 17,456.60

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Solution

The fourth proportional to 52,516.94, 78,775.43 and 17,456.60 is: 26,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516.94 : 78,775.43 = 17,456.60 : x
  2. Step 2: Convert to fraction form
    52,516.94/78,775.43 = 17,456.60/x
  3. Step 3: Cross multiply
    52,516.94x = 78,775.43 × 17,456.60
  4. Step 4: Simplify right side
    52,516.94x = 1,375,150,690.18
  5. Step 5: Solve for x
    x = 1,375,150,690.18/52,516.94
  6. Step 6: Final answer
    x = 26,184.90

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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.