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Finding the Fourth Proportional to 38,059.84, 52,524 and 21,292.96

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Solution

The fourth proportional to 38,059.84, 52,524 and 21,292.96 is: 29,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,059.84 : 52,524 = 21,292.96 : x
  2. Step 2: Convert to fraction form
    38,059.84/52,524 = 21,292.96/x
  3. Step 3: Cross multiply
    38,059.84x = 52,524 × 21,292.96
  4. Step 4: Simplify right side
    38,059.84x = 1,118,391,431.04
  5. Step 5: Solve for x
    x = 1,118,391,431.04/38,059.84
  6. Step 6: Final answer
    x = 29,385.08

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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.