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Finding the Fourth Proportional to 43,223.16, 59,649.02 and 24,102.75

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Solution

The fourth proportional to 43,223.16, 59,649.02 and 24,102.75 is: 33,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,223.16 : 59,649.02 = 24,102.75 : x
  2. Step 2: Convert to fraction form
    43,223.16/59,649.02 = 24,102.75/x
  3. Step 3: Cross multiply
    43,223.16x = 59,649.02 × 24,102.75
  4. Step 4: Simplify right side
    43,223.16x = 1,437,705,296.29
  5. Step 5: Solve for x
    x = 1,437,705,296.29/43,223.16
  6. Step 6: Final answer
    x = 33,262.38

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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.