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Finding the Fourth Proportional to 45,148.48, 67,678.14 and 21,414.40

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Solution

The fourth proportional to 45,148.48, 67,678.14 and 21,414.40 is: 32,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,148.48 : 67,678.14 = 21,414.40 : x
  2. Step 2: Convert to fraction form
    45,148.48/67,678.14 = 21,414.40/x
  3. Step 3: Cross multiply
    45,148.48x = 67,678.14 × 21,414.40
  4. Step 4: Simplify right side
    45,148.48x = 1,449,286,761.22
  5. Step 5: Solve for x
    x = 1,449,286,761.22/45,148.48
  6. Step 6: Final answer
    x = 32,100.46

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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.