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Finding the Fourth Proportional to 66,031.30, 98,942.91 and 51,074.98

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Solution

The fourth proportional to 66,031.30, 98,942.91 and 51,074.98 is: 76,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,031.30 : 98,942.91 = 51,074.98 : x
  2. Step 2: Convert to fraction form
    66,031.30/98,942.91 = 51,074.98/x
  3. Step 3: Cross multiply
    66,031.30x = 98,942.91 × 51,074.98
  4. Step 4: Simplify right side
    66,031.30x = 5,053,507,149.39
  5. Step 5: Solve for x
    x = 5,053,507,149.39/66,031.30
  6. Step 6: Final answer
    x = 76,532.00

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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.