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Finding the Fourth Proportional to 37,497.36, 51,745.92 and 20,730

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Solution

The fourth proportional to 37,497.36, 51,745.92 and 20,730 is: 28,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497.36 : 51,745.92 = 20,730 : x
  2. Step 2: Convert to fraction form
    37,497.36/51,745.92 = 20,730/x
  3. Step 3: Cross multiply
    37,497.36x = 51,745.92 × 20,730
  4. Step 4: Simplify right side
    37,497.36x = 1,072,692,921.60
  5. Step 5: Solve for x
    x = 1,072,692,921.60/37,497.36
  6. Step 6: Final answer
    x = 28,607.16

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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.