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Finding the Fourth Proportional to 37,116, 51,220.08 and 20,349

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Solution

The fourth proportional to 37,116, 51,220.08 and 20,349 is: 28,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,116 : 51,220.08 = 20,349 : x
  2. Step 2: Convert to fraction form
    37,116/51,220.08 = 20,349/x
  3. Step 3: Cross multiply
    37,116x = 51,220.08 × 20,349
  4. Step 4: Simplify right side
    37,116x = 1,042,277,407.92
  5. Step 5: Solve for x
    x = 1,042,277,407.92/37,116
  6. Step 6: Final answer
    x = 28,081.62

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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.