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Finding the Fourth Proportional to 64,867.68, 97,314.64 and 27,427.69

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Solution

The fourth proportional to 64,867.68, 97,314.64 and 27,427.69 is: 41,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,867.68 : 97,314.64 = 27,427.69 : x
  2. Step 2: Convert to fraction form
    64,867.68/97,314.64 = 27,427.69/x
  3. Step 3: Cross multiply
    64,867.68x = 97,314.64 × 27,427.69
  4. Step 4: Simplify right side
    64,867.68x = 2,669,115,620.81
  5. Step 5: Solve for x
    x = 2,669,115,620.81/64,867.68
  6. Step 6: Final answer
    x = 41,147.08

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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.