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Finding the Fourth Proportional to 38,205.17, 52,720.48 and 21,208.07

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Solution

The fourth proportional to 38,205.17, 52,720.48 and 21,208.07 is: 29,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.17 : 52,720.48 = 21,208.07 : x
  2. Step 2: Convert to fraction form
    38,205.17/52,720.48 = 21,208.07/x
  3. Step 3: Cross multiply
    38,205.17x = 52,720.48 × 21,208.07
  4. Step 4: Simplify right side
    38,205.17x = 1,118,099,432.95
  5. Step 5: Solve for x
    x = 1,118,099,432.95/38,205.17
  6. Step 6: Final answer
    x = 29,265.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.