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Finding the Fourth Proportional to 37,114, 55,676.16 and 10,820.64

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Solution

The fourth proportional to 37,114, 55,676.16 and 10,820.64 is: 16,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114 : 55,676.16 = 10,820.64 : x
  2. Step 2: Convert to fraction form
    37,114/55,676.16 = 10,820.64/x
  3. Step 3: Cross multiply
    37,114x = 55,676.16 × 10,820.64
  4. Step 4: Simplify right side
    37,114x = 602,451,683.94
  5. Step 5: Solve for x
    x = 602,451,683.94/37,114
  6. Step 6: Final answer
    x = 16,232.46

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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.