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Finding the Fourth Proportional to 30,250.16, 45,384.46 and 15,469.46

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Solution

The fourth proportional to 30,250.16, 45,384.46 and 15,469.46 is: 23,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.16 : 45,384.46 = 15,469.46 : x
  2. Step 2: Convert to fraction form
    30,250.16/45,384.46 = 15,469.46/x
  3. Step 3: Cross multiply
    30,250.16x = 45,384.46 × 15,469.46
  4. Step 4: Simplify right side
    30,250.16x = 702,072,900.34
  5. Step 5: Solve for x
    x = 702,072,900.34/30,250.16
  6. Step 6: Final answer
    x = 23,208.90

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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.