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Finding the Fourth Proportional to 29,484.31, 44,218.25 and 9,764.41

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Solution

The fourth proportional to 29,484.31, 44,218.25 and 9,764.41 is: 14,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484.31 : 44,218.25 = 9,764.41 : x
  2. Step 2: Convert to fraction form
    29,484.31/44,218.25 = 9,764.41/x
  3. Step 3: Cross multiply
    29,484.31x = 44,218.25 × 9,764.41
  4. Step 4: Simplify right side
    29,484.31x = 431,764,901.39
  5. Step 5: Solve for x
    x = 431,764,901.39/29,484.31
  6. Step 6: Final answer
    x = 14,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.