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Finding the Fourth Proportional to 37,538.78, 51,803.51 and 20,543.03

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Solution

The fourth proportional to 37,538.78, 51,803.51 and 20,543.03 is: 28,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.78 : 51,803.51 = 20,543.03 : x
  2. Step 2: Convert to fraction form
    37,538.78/51,803.51 = 20,543.03/x
  3. Step 3: Cross multiply
    37,538.78x = 51,803.51 × 20,543.03
  4. Step 4: Simplify right side
    37,538.78x = 1,064,200,892.57
  5. Step 5: Solve for x
    x = 1,064,200,892.57/37,538.78
  6. Step 6: Final answer
    x = 28,349.38

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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.