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Finding the Fourth Proportional to 37,116, 55,672.92 and 13,741.92

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Solution

The fourth proportional to 37,116, 55,672.92 and 13,741.92 is: 20,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,116 : 55,672.92 = 13,741.92 : x
  2. Step 2: Convert to fraction form
    37,116/55,672.92 = 13,741.92/x
  3. Step 3: Cross multiply
    37,116x = 55,672.92 × 13,741.92
  4. Step 4: Simplify right side
    37,116x = 765,052,812.81
  5. Step 5: Solve for x
    x = 765,052,812.81/37,116
  6. Step 6: Final answer
    x = 20,612.48

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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.