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Finding the Fourth Proportional to 76,419.34, 114,592.14 and 32,034.17

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Solution

The fourth proportional to 76,419.34, 114,592.14 and 32,034.17 is: 48,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419.34 : 114,592.14 = 32,034.17 : x
  2. Step 2: Convert to fraction form
    76,419.34/114,592.14 = 32,034.17/x
  3. Step 3: Cross multiply
    76,419.34x = 114,592.14 × 32,034.17
  4. Step 4: Simplify right side
    76,419.34x = 3,670,864,093.42
  5. Step 5: Solve for x
    x = 3,670,864,093.42/76,419.34
  6. Step 6: Final answer
    x = 48,035.80

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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.