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Finding the Fourth Proportional to 64,786.82, 97,180.22 and 37,065.38

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Solution

The fourth proportional to 64,786.82, 97,180.22 and 37,065.38 is: 55,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,786.82 : 97,180.22 = 37,065.38 : x
  2. Step 2: Convert to fraction form
    64,786.82/97,180.22 = 37,065.38/x
  3. Step 3: Cross multiply
    64,786.82x = 97,180.22 × 37,065.38
  4. Step 4: Simplify right side
    64,786.82x = 3,602,021,389.55
  5. Step 5: Solve for x
    x = 3,602,021,389.55/64,786.82
  6. Step 6: Final answer
    x = 55,598.06

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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.