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Finding the Fourth Proportional to 45,906, 63,334.02 and 29,999.66

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Solution

The fourth proportional to 45,906, 63,334.02 and 29,999.66 is: 41,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 63,334.02 = 29,999.66 : x
  2. Step 2: Convert to fraction form
    45,906/63,334.02 = 29,999.66/x
  3. Step 3: Cross multiply
    45,906x = 63,334.02 × 29,999.66
  4. Step 4: Simplify right side
    45,906x = 1,899,999,066.43
  5. Step 5: Solve for x
    x = 1,899,999,066.43/45,906
  6. Step 6: Final answer
    x = 41,388.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.