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Finding the Fourth Proportional to 65,015.82, 89,757.54 and 40,842

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Solution

The fourth proportional to 65,015.82, 89,757.54 and 40,842 is: 56,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.82 : 89,757.54 = 40,842 : x
  2. Step 2: Convert to fraction form
    65,015.82/89,757.54 = 40,842/x
  3. Step 3: Cross multiply
    65,015.82x = 89,757.54 × 40,842
  4. Step 4: Simplify right side
    65,015.82x = 3,665,877,448.68
  5. Step 5: Solve for x
    x = 3,665,877,448.68/65,015.82
  6. Step 6: Final answer
    x = 56,384.39

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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.