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Finding the Fourth Proportional to 34,484.40, 47,606.64 and 23,213.16

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Solution

The fourth proportional to 34,484.40, 47,606.64 and 23,213.16 is: 32,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,484.40 : 47,606.64 = 23,213.16 : x
  2. Step 2: Convert to fraction form
    34,484.40/47,606.64 = 23,213.16/x
  3. Step 3: Cross multiply
    34,484.40x = 47,606.64 × 23,213.16
  4. Step 4: Simplify right side
    34,484.40x = 1,105,100,551.38
  5. Step 5: Solve for x
    x = 1,105,100,551.38/34,484.40
  6. Step 6: Final answer
    x = 32,046.39

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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.