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Finding the Fourth Proportional to 45,826.40, 63,241.08 and 27,922.16

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Solution

The fourth proportional to 45,826.40, 63,241.08 and 27,922.16 is: 38,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,826.40 : 63,241.08 = 27,922.16 : x
  2. Step 2: Convert to fraction form
    45,826.40/63,241.08 = 27,922.16/x
  3. Step 3: Cross multiply
    45,826.40x = 63,241.08 × 27,922.16
  4. Step 4: Simplify right side
    45,826.40x = 1,765,827,554.33
  5. Step 5: Solve for x
    x = 1,765,827,554.33/45,826.40
  6. Step 6: Final answer
    x = 38,532.98

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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.