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Finding the Fourth Proportional to 97,169.63, 145,754.44 and 27,050.76

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Solution

The fourth proportional to 97,169.63, 145,754.44 and 27,050.76 is: 40,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,169.63 : 145,754.44 = 27,050.76 : x
  2. Step 2: Convert to fraction form
    97,169.63/145,754.44 = 27,050.76/x
  3. Step 3: Cross multiply
    97,169.63x = 145,754.44 × 27,050.76
  4. Step 4: Simplify right side
    97,169.63x = 3,942,768,307.75
  5. Step 5: Solve for x
    x = 3,942,768,307.75/97,169.63
  6. Step 6: Final answer
    x = 40,576.14

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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.