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Finding the Fourth Proportional to 38,315.32, 57,453.54 and 17,521

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Solution

The fourth proportional to 38,315.32, 57,453.54 and 17,521 is: 26,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315.32 : 57,453.54 = 17,521 : x
  2. Step 2: Convert to fraction form
    38,315.32/57,453.54 = 17,521/x
  3. Step 3: Cross multiply
    38,315.32x = 57,453.54 × 17,521
  4. Step 4: Simplify right side
    38,315.32x = 1,006,643,474.34
  5. Step 5: Solve for x
    x = 1,006,643,474.34/38,315.32
  6. Step 6: Final answer
    x = 26,272.61

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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.