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Finding the Fourth Proportional to 64,758.32, 97,142.97 and 18,011.19

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Solution

The fourth proportional to 64,758.32, 97,142.97 and 18,011.19 is: 27,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,758.32 : 97,142.97 = 18,011.19 : x
  2. Step 2: Convert to fraction form
    64,758.32/97,142.97 = 18,011.19/x
  3. Step 3: Cross multiply
    64,758.32x = 97,142.97 × 18,011.19
  4. Step 4: Simplify right side
    64,758.32x = 1,749,660,489.83
  5. Step 5: Solve for x
    x = 1,749,660,489.83/64,758.32
  6. Step 6: Final answer
    x = 27,018.31

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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.