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Finding the Fourth Proportional to 69,729.90, 96,228.02 and 37,898.80

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Solution

The fourth proportional to 69,729.90, 96,228.02 and 37,898.80 is: 52,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729.90 : 96,228.02 = 37,898.80 : x
  2. Step 2: Convert to fraction form
    69,729.90/96,228.02 = 37,898.80/x
  3. Step 3: Cross multiply
    69,729.90x = 96,228.02 × 37,898.80
  4. Step 4: Simplify right side
    69,729.90x = 3,646,926,484.38
  5. Step 5: Solve for x
    x = 3,646,926,484.38/69,729.90
  6. Step 6: Final answer
    x = 52,300.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.