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Finding the Fourth Proportional to 37,708.90, 56,563.14 and 9,245.50

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Solution

The fourth proportional to 37,708.90, 56,563.14 and 9,245.50 is: 13,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708.90 : 56,563.14 = 9,245.50 : x
  2. Step 2: Convert to fraction form
    37,708.90/56,563.14 = 9,245.50/x
  3. Step 3: Cross multiply
    37,708.90x = 56,563.14 × 9,245.50
  4. Step 4: Simplify right side
    37,708.90x = 522,954,510.87
  5. Step 5: Solve for x
    x = 522,954,510.87/37,708.90
  6. Step 6: Final answer
    x = 13,868.20

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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.