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Finding the Fourth Proportional to 37,463.40, 51,697.20 and 20,464.20

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Solution

The fourth proportional to 37,463.40, 51,697.20 and 20,464.20 is: 28,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463.40 : 51,697.20 = 20,464.20 : x
  2. Step 2: Convert to fraction form
    37,463.40/51,697.20 = 20,464.20/x
  3. Step 3: Cross multiply
    37,463.40x = 51,697.20 × 20,464.20
  4. Step 4: Simplify right side
    37,463.40x = 1,057,941,840.24
  5. Step 5: Solve for x
    x = 1,057,941,840.24/37,463.40
  6. Step 6: Final answer
    x = 28,239.34

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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.