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Finding the Fourth Proportional to 38,527.84, 57,777.12 and 15,141.52

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Solution

The fourth proportional to 38,527.84, 57,777.12 and 15,141.52 is: 22,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.84 : 57,777.12 = 15,141.52 : x
  2. Step 2: Convert to fraction form
    38,527.84/57,777.12 = 15,141.52/x
  3. Step 3: Cross multiply
    38,527.84x = 57,777.12 × 15,141.52
  4. Step 4: Simplify right side
    38,527.84x = 874,833,418.02
  5. Step 5: Solve for x
    x = 874,833,418.02/38,527.84
  6. Step 6: Final answer
    x = 22,706.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.