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Finding the Fourth Proportional to 30,131.70, 45,189.45 and 12,597.90

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Solution

The fourth proportional to 30,131.70, 45,189.45 and 12,597.90 is: 18,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.70 : 45,189.45 = 12,597.90 : x
  2. Step 2: Convert to fraction form
    30,131.70/45,189.45 = 12,597.90/x
  3. Step 3: Cross multiply
    30,131.70x = 45,189.45 × 12,597.90
  4. Step 4: Simplify right side
    30,131.70x = 569,292,172.16
  5. Step 5: Solve for x
    x = 569,292,172.16/30,131.70
  6. Step 6: Final answer
    x = 18,893.46

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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.