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Finding the Fourth Proportional to 52,644.75, 78,980.81 and 15,708.75

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Solution

The fourth proportional to 52,644.75, 78,980.81 and 15,708.75 is: 23,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.75 : 78,980.81 = 15,708.75 : x
  2. Step 2: Convert to fraction form
    52,644.75/78,980.81 = 15,708.75/x
  3. Step 3: Cross multiply
    52,644.75x = 78,980.81 × 15,708.75
  4. Step 4: Simplify right side
    52,644.75x = 1,240,689,720.54
  5. Step 5: Solve for x
    x = 1,240,689,720.54/52,644.75
  6. Step 6: Final answer
    x = 23,567.21

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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.