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Finding the Fourth Proportional to 30,144.52, 45,225.62 and 13,500.84

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Solution

The fourth proportional to 30,144.52, 45,225.62 and 13,500.84 is: 20,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.52 : 45,225.62 = 13,500.84 : x
  2. Step 2: Convert to fraction form
    30,144.52/45,225.62 = 13,500.84/x
  3. Step 3: Cross multiply
    30,144.52x = 45,225.62 × 13,500.84
  4. Step 4: Simplify right side
    30,144.52x = 610,583,792.02
  5. Step 5: Solve for x
    x = 610,583,792.02/30,144.52
  6. Step 6: Final answer
    x = 20,255.22

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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.