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Finding the Fourth Proportional to 33,000.48, 49,261.74 and 29,010.24

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Solution

The fourth proportional to 33,000.48, 49,261.74 and 29,010.24 is: 43,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.48 : 49,261.74 = 29,010.24 : x
  2. Step 2: Convert to fraction form
    33,000.48/49,261.74 = 29,010.24/x
  3. Step 3: Cross multiply
    33,000.48x = 49,261.74 × 29,010.24
  4. Step 4: Simplify right side
    33,000.48x = 1,429,094,900.22
  5. Step 5: Solve for x
    x = 1,429,094,900.22/33,000.48
  6. Step 6: Final answer
    x = 43,305.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.