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Finding the Fourth Proportional to 37,235.70, 55,820.34 and 13,846.14

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Solution

The fourth proportional to 37,235.70, 55,820.34 and 13,846.14 is: 20,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235.70 : 55,820.34 = 13,846.14 : x
  2. Step 2: Convert to fraction form
    37,235.70/55,820.34 = 13,846.14/x
  3. Step 3: Cross multiply
    37,235.70x = 55,820.34 × 13,846.14
  4. Step 4: Simplify right side
    37,235.70x = 772,896,242.49
  5. Step 5: Solve for x
    x = 772,896,242.49/37,235.70
  6. Step 6: Final answer
    x = 20,756.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.