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Finding the Fourth Proportional to 46,548.38, 64,241.49 and 27,434.31

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Solution

The fourth proportional to 46,548.38, 64,241.49 and 27,434.31 is: 37,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,548.38 : 64,241.49 = 27,434.31 : x
  2. Step 2: Convert to fraction form
    46,548.38/64,241.49 = 27,434.31/x
  3. Step 3: Cross multiply
    46,548.38x = 64,241.49 × 27,434.31
  4. Step 4: Simplify right side
    46,548.38x = 1,762,420,659.18
  5. Step 5: Solve for x
    x = 1,762,420,659.18/46,548.38
  6. Step 6: Final answer
    x = 37,862.13

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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.