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Finding the Fourth Proportional to 38,527.50, 53,164 and 21,532.48

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Solution

The fourth proportional to 38,527.50, 53,164 and 21,532.48 is: 29,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.50 : 53,164 = 21,532.48 : x
  2. Step 2: Convert to fraction form
    38,527.50/53,164 = 21,532.48/x
  3. Step 3: Cross multiply
    38,527.50x = 53,164 × 21,532.48
  4. Step 4: Simplify right side
    38,527.50x = 1,144,752,766.72
  5. Step 5: Solve for x
    x = 1,144,752,766.72/38,527.50
  6. Step 6: Final answer
    x = 29,712.61

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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.