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Finding the Fourth Proportional to 37,092.98, 51,160.38 and 25,762.50

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Solution

The fourth proportional to 37,092.98, 51,160.38 and 25,762.50 is: 35,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,092.98 : 51,160.38 = 25,762.50 : x
  2. Step 2: Convert to fraction form
    37,092.98/51,160.38 = 25,762.50/x
  3. Step 3: Cross multiply
    37,092.98x = 51,160.38 × 25,762.50
  4. Step 4: Simplify right side
    37,092.98x = 1,318,019,289.75
  5. Step 5: Solve for x
    x = 1,318,019,289.75/37,092.98
  6. Step 6: Final answer
    x = 35,532.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.