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Finding the Fourth Proportional to 45,698.24, 68,553 and 22,307

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Solution

The fourth proportional to 45,698.24, 68,553 and 22,307 is: 33,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698.24 : 68,553 = 22,307 : x
  2. Step 2: Convert to fraction form
    45,698.24/68,553 = 22,307/x
  3. Step 3: Cross multiply
    45,698.24x = 68,553 × 22,307
  4. Step 4: Simplify right side
    45,698.24x = 1,529,211,771
  5. Step 5: Solve for x
    x = 1,529,211,771/45,698.24
  6. Step 6: Final answer
    x = 33,463.25

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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.