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Finding the Fourth Proportional to 38,628.64, 53,306.28 and 21,400.30

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Solution

The fourth proportional to 38,628.64, 53,306.28 and 21,400.30 is: 29,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628.64 : 53,306.28 = 21,400.30 : x
  2. Step 2: Convert to fraction form
    38,628.64/53,306.28 = 21,400.30/x
  3. Step 3: Cross multiply
    38,628.64x = 53,306.28 × 21,400.30
  4. Step 4: Simplify right side
    38,628.64x = 1,140,770,494.61
  5. Step 5: Solve for x
    x = 1,140,770,494.61/38,628.64
  6. Step 6: Final answer
    x = 29,531.72

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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.