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Finding the Fourth Proportional to 30,147.98, 45,220.15 and 13,503.55

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Solution

The fourth proportional to 30,147.98, 45,220.15 and 13,503.55 is: 20,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.98 : 45,220.15 = 13,503.55 : x
  2. Step 2: Convert to fraction form
    30,147.98/45,220.15 = 13,503.55/x
  3. Step 3: Cross multiply
    30,147.98x = 45,220.15 × 13,503.55
  4. Step 4: Simplify right side
    30,147.98x = 610,632,379.99
  5. Step 5: Solve for x
    x = 610,632,379.99/30,147.98
  6. Step 6: Final answer
    x = 20,254.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.