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Finding the Fourth Proportional to 97,067.96, 145,515.30 and 37,889.84

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Solution

The fourth proportional to 97,067.96, 145,515.30 and 37,889.84 is: 56,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,067.96 : 145,515.30 = 37,889.84 : x
  2. Step 2: Convert to fraction form
    97,067.96/145,515.30 = 37,889.84/x
  3. Step 3: Cross multiply
    97,067.96x = 145,515.30 × 37,889.84
  4. Step 4: Simplify right side
    97,067.96x = 5,513,551,434.55
  5. Step 5: Solve for x
    x = 5,513,551,434.55/97,067.96
  6. Step 6: Final answer
    x = 56,800.94

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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.