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Finding the Fourth Proportional to 30,204.60, 45,314.10 and 15,415.80

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Solution

The fourth proportional to 30,204.60, 45,314.10 and 15,415.80 is: 23,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.60 : 45,314.10 = 15,415.80 : x
  2. Step 2: Convert to fraction form
    30,204.60/45,314.10 = 15,415.80/x
  3. Step 3: Cross multiply
    30,204.60x = 45,314.10 × 15,415.80
  4. Step 4: Simplify right side
    30,204.60x = 698,553,102.78
  5. Step 5: Solve for x
    x = 698,553,102.78/30,204.60
  6. Step 6: Final answer
    x = 23,127.37

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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.