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Finding the Fourth Proportional to 37,349, 51,542.16 and 20,582

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Solution

The fourth proportional to 37,349, 51,542.16 and 20,582 is: 28,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,349 : 51,542.16 = 20,582 : x
  2. Step 2: Convert to fraction form
    37,349/51,542.16 = 20,582/x
  3. Step 3: Cross multiply
    37,349x = 51,542.16 × 20,582
  4. Step 4: Simplify right side
    37,349x = 1,060,840,737.12
  5. Step 5: Solve for x
    x = 1,060,840,737.12/37,349
  6. Step 6: Final answer
    x = 28,403.46

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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.