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Finding the Fourth Proportional to 39,496.64, 54,505.31 and 21,347.34

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Solution

The fourth proportional to 39,496.64, 54,505.31 and 21,347.34 is: 29,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496.64 : 54,505.31 = 21,347.34 : x
  2. Step 2: Convert to fraction form
    39,496.64/54,505.31 = 21,347.34/x
  3. Step 3: Cross multiply
    39,496.64x = 54,505.31 × 21,347.34
  4. Step 4: Simplify right side
    39,496.64x = 1,163,543,384.38
  5. Step 5: Solve for x
    x = 1,163,543,384.38/39,496.64
  6. Step 6: Final answer
    x = 29,459.30

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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.