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Finding the Fourth Proportional to 64,887.09, 97,343.61 and 27,447

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Solution

The fourth proportional to 64,887.09, 97,343.61 and 27,447 is: 41,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,887.09 : 97,343.61 = 27,447 : x
  2. Step 2: Convert to fraction form
    64,887.09/97,343.61 = 27,447/x
  3. Step 3: Cross multiply
    64,887.09x = 97,343.61 × 27,447
  4. Step 4: Simplify right side
    64,887.09x = 2,671,790,063.67
  5. Step 5: Solve for x
    x = 2,671,790,063.67/64,887.09
  6. Step 6: Final answer
    x = 41,175.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.