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Finding the Fourth Proportional to 37,409.68, 55,840.82 and 32,981.14

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Solution

The fourth proportional to 37,409.68, 55,840.82 and 32,981.14 is: 49,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.68 : 55,840.82 = 32,981.14 : x
  2. Step 2: Convert to fraction form
    37,409.68/55,840.82 = 32,981.14/x
  3. Step 3: Cross multiply
    37,409.68x = 55,840.82 × 32,981.14
  4. Step 4: Simplify right side
    37,409.68x = 1,841,693,902.13
  5. Step 5: Solve for x
    x = 1,841,693,902.13/37,409.68
  6. Step 6: Final answer
    x = 49,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.