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Finding the Fourth Proportional to 38,497.30, 57,742.17 and 26,096.98

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Solution

The fourth proportional to 38,497.30, 57,742.17 and 26,096.98 is: 39,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.30 : 57,742.17 = 26,096.98 : x
  2. Step 2: Convert to fraction form
    38,497.30/57,742.17 = 26,096.98/x
  3. Step 3: Cross multiply
    38,497.30x = 57,742.17 × 26,096.98
  4. Step 4: Simplify right side
    38,497.30x = 1,506,896,255.65
  5. Step 5: Solve for x
    x = 1,506,896,255.65/38,497.30
  6. Step 6: Final answer
    x = 39,142.91

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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.