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Finding the Fourth Proportional to 41,085.71, 56,699.03 and 24,102.14

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Solution

The fourth proportional to 41,085.71, 56,699.03 and 24,102.14 is: 33,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,085.71 : 56,699.03 = 24,102.14 : x
  2. Step 2: Convert to fraction form
    41,085.71/56,699.03 = 24,102.14/x
  3. Step 3: Cross multiply
    41,085.71x = 56,699.03 × 24,102.14
  4. Step 4: Simplify right side
    41,085.71x = 1,366,567,958.92
  5. Step 5: Solve for x
    x = 1,366,567,958.92/41,085.71
  6. Step 6: Final answer
    x = 33,261.39

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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.