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Finding the Fourth Proportional to 37,354.64, 51,529.38 and 23,911.43

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Solution

The fourth proportional to 37,354.64, 51,529.38 and 23,911.43 is: 32,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,354.64 : 51,529.38 = 23,911.43 : x
  2. Step 2: Convert to fraction form
    37,354.64/51,529.38 = 23,911.43/x
  3. Step 3: Cross multiply
    37,354.64x = 51,529.38 × 23,911.43
  4. Step 4: Simplify right side
    37,354.64x = 1,232,141,162.81
  5. Step 5: Solve for x
    x = 1,232,141,162.81/37,354.64
  6. Step 6: Final answer
    x = 32,984.96

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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.