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Finding the Fourth Proportional to 30,204.50, 45,331.04 and 15,417.34

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Solution

The fourth proportional to 30,204.50, 45,331.04 and 15,417.34 is: 23,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.50 : 45,331.04 = 15,417.34 : x
  2. Step 2: Convert to fraction form
    30,204.50/45,331.04 = 15,417.34/x
  3. Step 3: Cross multiply
    30,204.50x = 45,331.04 × 15,417.34
  4. Step 4: Simplify right side
    30,204.50x = 698,883,981.45
  5. Step 5: Solve for x
    x = 698,883,981.45/30,204.50
  6. Step 6: Final answer
    x = 23,138.41

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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.