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Finding the Fourth Proportional to 102,882.96, 154,339.22 and 31,811.14

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Solution

The fourth proportional to 102,882.96, 154,339.22 and 31,811.14 is: 47,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.96 : 154,339.22 = 31,811.14 : x
  2. Step 2: Convert to fraction form
    102,882.96/154,339.22 = 31,811.14/x
  3. Step 3: Cross multiply
    102,882.96x = 154,339.22 × 31,811.14
  4. Step 4: Simplify right side
    102,882.96x = 4,909,706,534.91
  5. Step 5: Solve for x
    x = 4,909,706,534.91/102,882.96
  6. Step 6: Final answer
    x = 47,721.28

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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.