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Finding the Fourth Proportional to 30,153.60, 45,236.88 and 12,614.40

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Solution

The fourth proportional to 30,153.60, 45,236.88 and 12,614.40 is: 18,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.60 : 45,236.88 = 12,614.40 : x
  2. Step 2: Convert to fraction form
    30,153.60/45,236.88 = 12,614.40/x
  3. Step 3: Cross multiply
    30,153.60x = 45,236.88 × 12,614.40
  4. Step 4: Simplify right side
    30,153.60x = 570,636,099.07
  5. Step 5: Solve for x
    x = 570,636,099.07/30,153.60
  6. Step 6: Final answer
    x = 18,924.31

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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.