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Finding the Fourth Proportional to 30,428.49, 45,647.60 and 12,898.47

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Solution

The fourth proportional to 30,428.49, 45,647.60 and 12,898.47 is: 19,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.49 : 45,647.60 = 12,898.47 : x
  2. Step 2: Convert to fraction form
    30,428.49/45,647.60 = 12,898.47/x
  3. Step 3: Cross multiply
    30,428.49x = 45,647.60 × 12,898.47
  4. Step 4: Simplify right side
    30,428.49x = 588,784,134.68
  5. Step 5: Solve for x
    x = 588,784,134.68/30,428.49
  6. Step 6: Final answer
    x = 19,349.77

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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.